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Finding the Fourth Proportional to 680.52, 938.70 and 593.40

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Solution

The fourth proportional to 680.52, 938.70 and 593.40 is: 818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.52 : 938.70 = 593.40 : x
  2. Step 2: Convert to fraction form
    680.52/938.70 = 593.40/x
  3. Step 3: Cross multiply
    680.52x = 938.70 × 593.40
  4. Step 4: Simplify right side
    680.52x = 557,024.58
  5. Step 5: Solve for x
    x = 557,024.58/680.52
  6. Step 6: Final answer
    x = 818.53

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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.