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Finding the Fourth Proportional to 680.28, 938.80 and 400.53

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Solution

The fourth proportional to 680.28, 938.80 and 400.53 is: 552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.28 : 938.80 = 400.53 : x
  2. Step 2: Convert to fraction form
    680.28/938.80 = 400.53/x
  3. Step 3: Cross multiply
    680.28x = 938.80 × 400.53
  4. Step 4: Simplify right side
    680.28x = 376,018.91
  5. Step 5: Solve for x
    x = 376,018.91/680.28
  6. Step 6: Final answer
    x = 552.74

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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.