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Finding the Fourth Proportional to 582.12, 871.92 and 472.77

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Solution

The fourth proportional to 582.12, 871.92 and 472.77 is: 708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.12 : 871.92 = 472.77 : x
  2. Step 2: Convert to fraction form
    582.12/871.92 = 472.77/x
  3. Step 3: Cross multiply
    582.12x = 871.92 × 472.77
  4. Step 4: Simplify right side
    582.12x = 412,217.62
  5. Step 5: Solve for x
    x = 412,217.62/582.12
  6. Step 6: Final answer
    x = 708.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.