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Finding the Fourth Proportional to 924.39, 1,275.54 and 531.42

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Solution

The fourth proportional to 924.39, 1,275.54 and 531.42 is: 733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.39 : 1,275.54 = 531.42 : x
  2. Step 2: Convert to fraction form
    924.39/1,275.54 = 531.42/x
  3. Step 3: Cross multiply
    924.39x = 1,275.54 × 531.42
  4. Step 4: Simplify right side
    924.39x = 677,847.47
  5. Step 5: Solve for x
    x = 677,847.47/924.39
  6. Step 6: Final answer
    x = 733.29

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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.