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Finding the Fourth Proportional to 863.73, 1,294.66 and 424.47

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Solution

The fourth proportional to 863.73, 1,294.66 and 424.47 is: 636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.73 : 1,294.66 = 424.47 : x
  2. Step 2: Convert to fraction form
    863.73/1,294.66 = 424.47/x
  3. Step 3: Cross multiply
    863.73x = 1,294.66 × 424.47
  4. Step 4: Simplify right side
    863.73x = 549,542.21
  5. Step 5: Solve for x
    x = 549,542.21/863.73
  6. Step 6: Final answer
    x = 636.24

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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.