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Finding the Fourth Proportional to 1,210.70, 1,816.06 and 345.02

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Solution

The fourth proportional to 1,210.70, 1,816.06 and 345.02 is: 517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.70 : 1,816.06 = 345.02 : x
  2. Step 2: Convert to fraction form
    1,210.70/1,816.06 = 345.02/x
  3. Step 3: Cross multiply
    1,210.70x = 1,816.06 × 345.02
  4. Step 4: Simplify right side
    1,210.70x = 626,577.02
  5. Step 5: Solve for x
    x = 626,577.02/1,210.70
  6. Step 6: Final answer
    x = 517.53

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Double scale
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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.