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Finding the Fourth Proportional to 881.92, 1,217.32 and 509.14

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Solution

The fourth proportional to 881.92, 1,217.32 and 509.14 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.92 : 1,217.32 = 509.14 : x
  2. Step 2: Convert to fraction form
    881.92/1,217.32 = 509.14/x
  3. Step 3: Cross multiply
    881.92x = 1,217.32 × 509.14
  4. Step 4: Simplify right side
    881.92x = 619,781.99
  5. Step 5: Solve for x
    x = 619,781.99/881.92
  6. Step 6: Final answer
    x = 702.77

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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.