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Finding the Fourth Proportional to 747.70, 986.10 and 747.70

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Solution

The fourth proportional to 747.70, 986.10 and 747.70 is: 986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.70 : 986.10 = 747.70 : x
  2. Step 2: Convert to fraction form
    747.70/986.10 = 747.70/x
  3. Step 3: Cross multiply
    747.70x = 986.10 × 747.70
  4. Step 4: Simplify right side
    747.70x = 737,306.97
  5. Step 5: Solve for x
    x = 737,306.97/747.70
  6. Step 6: Final answer
    x = 986.10

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.