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Finding the Fourth Proportional to 586.02, 878.12 and 431.72

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Solution

The fourth proportional to 586.02, 878.12 and 431.72 is: 646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.02 : 878.12 = 431.72 : x
  2. Step 2: Convert to fraction form
    586.02/878.12 = 431.72/x
  3. Step 3: Cross multiply
    586.02x = 878.12 × 431.72
  4. Step 4: Simplify right side
    586.02x = 379,101.97
  5. Step 5: Solve for x
    x = 379,101.97/586.02
  6. Step 6: Final answer
    x = 646.91

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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.