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Finding the Fourth Proportional to 657.70, 932.35 and 657.70

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Solution

The fourth proportional to 657.70, 932.35 and 657.70 is: 932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.70 : 932.35 = 657.70 : x
  2. Step 2: Convert to fraction form
    657.70/932.35 = 657.70/x
  3. Step 3: Cross multiply
    657.70x = 932.35 × 657.70
  4. Step 4: Simplify right side
    657.70x = 613,206.60
  5. Step 5: Solve for x
    x = 613,206.60/657.70
  6. Step 6: Final answer
    x = 932.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.