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Finding the Fourth Proportional to 882.72, 1,217.76 and 572.16

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Solution

The fourth proportional to 882.72, 1,217.76 and 572.16 is: 789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.72 : 1,217.76 = 572.16 : x
  2. Step 2: Convert to fraction form
    882.72/1,217.76 = 572.16/x
  3. Step 3: Cross multiply
    882.72x = 1,217.76 × 572.16
  4. Step 4: Simplify right side
    882.72x = 696,753.56
  5. Step 5: Solve for x
    x = 696,753.56/882.72
  6. Step 6: Final answer
    x = 789.33

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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.