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Finding the Fourth Proportional to 882.19, 1,217.39 and 527.91

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Solution

The fourth proportional to 882.19, 1,217.39 and 527.91 is: 728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.19 : 1,217.39 = 527.91 : x
  2. Step 2: Convert to fraction form
    882.19/1,217.39 = 527.91/x
  3. Step 3: Cross multiply
    882.19x = 1,217.39 × 527.91
  4. Step 4: Simplify right side
    882.19x = 642,672.35
  5. Step 5: Solve for x
    x = 642,672.35/882.19
  6. Step 6: Final answer
    x = 728.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.