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Finding the Fourth Proportional to 882.31, 1,217.28 and 503.93

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Solution

The fourth proportional to 882.31, 1,217.28 and 503.93 is: 695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.31 : 1,217.28 = 503.93 : x
  2. Step 2: Convert to fraction form
    882.31/1,217.28 = 503.93/x
  3. Step 3: Cross multiply
    882.31x = 1,217.28 × 503.93
  4. Step 4: Simplify right side
    882.31x = 613,423.91
  5. Step 5: Solve for x
    x = 613,423.91/882.31
  6. Step 6: Final answer
    x = 695.25

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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.