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Finding the Fourth Proportional to 680.13, 938.66 and 414.59

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Solution

The fourth proportional to 680.13, 938.66 and 414.59 is: 572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.13 : 938.66 = 414.59 : x
  2. Step 2: Convert to fraction form
    680.13/938.66 = 414.59/x
  3. Step 3: Cross multiply
    680.13x = 938.66 × 414.59
  4. Step 4: Simplify right side
    680.13x = 389,152.28
  5. Step 5: Solve for x
    x = 389,152.28/680.13
  6. Step 6: Final answer
    x = 572.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.