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Finding the Fourth Proportional to 557.48, 775.47 and 546.92

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Solution

The fourth proportional to 557.48, 775.47 and 546.92 is: 760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.48 : 775.47 = 546.92 : x
  2. Step 2: Convert to fraction form
    557.48/775.47 = 546.92/x
  3. Step 3: Cross multiply
    557.48x = 775.47 × 546.92
  4. Step 4: Simplify right side
    557.48x = 424,120.05
  5. Step 5: Solve for x
    x = 424,120.05/557.48
  6. Step 6: Final answer
    x = 760.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.