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Finding the Fourth Proportional to 680.72, 938.86 and 602.12

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Solution

The fourth proportional to 680.72, 938.86 and 602.12 is: 830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.72 : 938.86 = 602.12 : x
  2. Step 2: Convert to fraction form
    680.72/938.86 = 602.12/x
  3. Step 3: Cross multiply
    680.72x = 938.86 × 602.12
  4. Step 4: Simplify right side
    680.72x = 565,306.38
  5. Step 5: Solve for x
    x = 565,306.38/680.72
  6. Step 6: Final answer
    x = 830.45

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1.5x scale

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.