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Finding the Fourth Proportional to 977.74, 1,349.11 and 557.90

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Solution

The fourth proportional to 977.74, 1,349.11 and 557.90 is: 769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.74 : 1,349.11 = 557.90 : x
  2. Step 2: Convert to fraction form
    977.74/1,349.11 = 557.90/x
  3. Step 3: Cross multiply
    977.74x = 1,349.11 × 557.90
  4. Step 4: Simplify right side
    977.74x = 752,668.47
  5. Step 5: Solve for x
    x = 752,668.47/977.74
  6. Step 6: Final answer
    x = 769.80

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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.