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Finding the Fourth Proportional to 924.20, 1,275.35 and 531.21

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Solution

The fourth proportional to 924.20, 1,275.35 and 531.21 is: 733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.20 : 1,275.35 = 531.21 : x
  2. Step 2: Convert to fraction form
    924.20/1,275.35 = 531.21/x
  3. Step 3: Cross multiply
    924.20x = 1,275.35 × 531.21
  4. Step 4: Simplify right side
    924.20x = 677,476.02
  5. Step 5: Solve for x
    x = 677,476.02/924.20
  6. Step 6: Final answer
    x = 733.04

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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.