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Finding the Fourth Proportional to 572.67, 862.45 and 520.83

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Solution

The fourth proportional to 572.67, 862.45 and 520.83 is: 784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.67 : 862.45 = 520.83 : x
  2. Step 2: Convert to fraction form
    572.67/862.45 = 520.83/x
  3. Step 3: Cross multiply
    572.67x = 862.45 × 520.83
  4. Step 4: Simplify right side
    572.67x = 449,188.53
  5. Step 5: Solve for x
    x = 449,188.53/572.67
  6. Step 6: Final answer
    x = 784.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.