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Finding the Fourth Proportional to 738.87, 1,013.02 and 725.70

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Solution

The fourth proportional to 738.87, 1,013.02 and 725.70 is: 994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.87 : 1,013.02 = 725.70 : x
  2. Step 2: Convert to fraction form
    738.87/1,013.02 = 725.70/x
  3. Step 3: Cross multiply
    738.87x = 1,013.02 × 725.70
  4. Step 4: Simplify right side
    738.87x = 735,148.61
  5. Step 5: Solve for x
    x = 735,148.61/738.87
  6. Step 6: Final answer
    x = 994.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.