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Finding the Fourth Proportional to 977.38, 1,348.71 and 557.83

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Solution

The fourth proportional to 977.38, 1,348.71 and 557.83 is: 769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.38 : 1,348.71 = 557.83 : x
  2. Step 2: Convert to fraction form
    977.38/1,348.71 = 557.83/x
  3. Step 3: Cross multiply
    977.38x = 1,348.71 × 557.83
  4. Step 4: Simplify right side
    977.38x = 752,350.90
  5. Step 5: Solve for x
    x = 752,350.90/977.38
  6. Step 6: Final answer
    x = 769.76

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Double scale
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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.