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Finding the Fourth Proportional to 653.50, 979.45 and 345.15

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Solution

The fourth proportional to 653.50, 979.45 and 345.15 is: 517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.50 : 979.45 = 345.15 : x
  2. Step 2: Convert to fraction form
    653.50/979.45 = 345.15/x
  3. Step 3: Cross multiply
    653.50x = 979.45 × 345.15
  4. Step 4: Simplify right side
    653.50x = 338,062.46
  5. Step 5: Solve for x
    x = 338,062.46/653.50
  6. Step 6: Final answer
    x = 517.31

Related Problems

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Half scale
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Double scale
Find fourth proportional to 654.50, 980.95 and 346.15
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.