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Finding the Fourth Proportional to 977.53, 1,349.12 and 557.79

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Solution

The fourth proportional to 977.53, 1,349.12 and 557.79 is: 769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.53 : 1,349.12 = 557.79 : x
  2. Step 2: Convert to fraction form
    977.53/1,349.12 = 557.79/x
  3. Step 3: Cross multiply
    977.53x = 1,349.12 × 557.79
  4. Step 4: Simplify right side
    977.53x = 752,518.90
  5. Step 5: Solve for x
    x = 752,518.90/977.53
  6. Step 6: Final answer
    x = 769.82

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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.