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Finding the Fourth Proportional to 572.47, 857.78 and 517.80

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Solution

The fourth proportional to 572.47, 857.78 and 517.80 is: 775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.47 : 857.78 = 517.80 : x
  2. Step 2: Convert to fraction form
    572.47/857.78 = 517.80/x
  3. Step 3: Cross multiply
    572.47x = 857.78 × 517.80
  4. Step 4: Simplify right side
    572.47x = 444,158.48
  5. Step 5: Solve for x
    x = 444,158.48/572.47
  6. Step 6: Final answer
    x = 775.86

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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.