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Finding the Fourth Proportional to 712.92, 983.57 and 624.38

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Solution

The fourth proportional to 712.92, 983.57 and 624.38 is: 861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.92 : 983.57 = 624.38 : x
  2. Step 2: Convert to fraction form
    712.92/983.57 = 624.38/x
  3. Step 3: Cross multiply
    712.92x = 983.57 × 624.38
  4. Step 4: Simplify right side
    712.92x = 614,121.44
  5. Step 5: Solve for x
    x = 614,121.44/712.92
  6. Step 6: Final answer
    x = 861.42

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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.