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Finding the Fourth Proportional to 732.95, 1,011.33 and 422.39

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Solution

The fourth proportional to 732.95, 1,011.33 and 422.39 is: 582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.95 : 1,011.33 = 422.39 : x
  2. Step 2: Convert to fraction form
    732.95/1,011.33 = 422.39/x
  3. Step 3: Cross multiply
    732.95x = 1,011.33 × 422.39
  4. Step 4: Simplify right side
    732.95x = 427,175.68
  5. Step 5: Solve for x
    x = 427,175.68/732.95
  6. Step 6: Final answer
    x = 582.82

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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.