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Finding the Fourth Proportional to 572.91, 857.42 and 476.82

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Solution

The fourth proportional to 572.91, 857.42 and 476.82 is: 713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.91 : 857.42 = 476.82 : x
  2. Step 2: Convert to fraction form
    572.91/857.42 = 476.82/x
  3. Step 3: Cross multiply
    572.91x = 857.42 × 476.82
  4. Step 4: Simplify right side
    572.91x = 408,834.41
  5. Step 5: Solve for x
    x = 408,834.41/572.91
  6. Step 6: Final answer
    x = 713.61

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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.