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Finding the Fourth Proportional to 1,210.79, 1,816.20 and 345.10

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Solution

The fourth proportional to 1,210.79, 1,816.20 and 345.10 is: 517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.79 : 1,816.20 = 345.10 : x
  2. Step 2: Convert to fraction form
    1,210.79/1,816.20 = 345.10/x
  3. Step 3: Cross multiply
    1,210.79x = 1,816.20 × 345.10
  4. Step 4: Simplify right side
    1,210.79x = 626,770.62
  5. Step 5: Solve for x
    x = 626,770.62/1,210.79
  6. Step 6: Final answer
    x = 517.65

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,211.79, 1,817.70 and 346.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.