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Finding the Fourth Proportional to 557.52, 831.54 and 547.80

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Solution

The fourth proportional to 557.52, 831.54 and 547.80 is: 817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.52 : 831.54 = 547.80 : x
  2. Step 2: Convert to fraction form
    557.52/831.54 = 547.80/x
  3. Step 3: Cross multiply
    557.52x = 831.54 × 547.80
  4. Step 4: Simplify right side
    557.52x = 455,517.61
  5. Step 5: Solve for x
    x = 455,517.61/557.52
  6. Step 6: Final answer
    x = 817.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.