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Finding the Fourth Proportional to 586.27, 877.87 and 431.97

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Solution

The fourth proportional to 586.27, 877.87 and 431.97 is: 646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.27 : 877.87 = 431.97 : x
  2. Step 2: Convert to fraction form
    586.27/877.87 = 431.97/x
  3. Step 3: Cross multiply
    586.27x = 877.87 × 431.97
  4. Step 4: Simplify right side
    586.27x = 379,213.50
  5. Step 5: Solve for x
    x = 379,213.50/586.27
  6. Step 6: Final answer
    x = 646.82

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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.