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Finding the Fourth Proportional to 924.21, 1,275.52 and 531.22

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Solution

The fourth proportional to 924.21, 1,275.52 and 531.22 is: 733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.21 : 1,275.52 = 531.22 : x
  2. Step 2: Convert to fraction form
    924.21/1,275.52 = 531.22/x
  3. Step 3: Cross multiply
    924.21x = 1,275.52 × 531.22
  4. Step 4: Simplify right side
    924.21x = 677,581.73
  5. Step 5: Solve for x
    x = 677,581.73/924.21
  6. Step 6: Final answer
    x = 733.15

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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.