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Finding the Fourth Proportional to 883.29, 1,324.95 and 493.07

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Solution

The fourth proportional to 883.29, 1,324.95 and 493.07 is: 739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.29 : 1,324.95 = 493.07 : x
  2. Step 2: Convert to fraction form
    883.29/1,324.95 = 493.07/x
  3. Step 3: Cross multiply
    883.29x = 1,324.95 × 493.07
  4. Step 4: Simplify right side
    883.29x = 653,286.47
  5. Step 5: Solve for x
    x = 653,286.47/883.29
  6. Step 6: Final answer
    x = 739.61

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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.