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Finding the Fourth Proportional to 924.42, 1,275.82 and 531.43

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Solution

The fourth proportional to 924.42, 1,275.82 and 531.43 is: 733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.42 : 1,275.82 = 531.43 : x
  2. Step 2: Convert to fraction form
    924.42/1,275.82 = 531.43/x
  3. Step 3: Cross multiply
    924.42x = 1,275.82 × 531.43
  4. Step 4: Simplify right side
    924.42x = 678,009.02
  5. Step 5: Solve for x
    x = 678,009.02/924.42
  6. Step 6: Final answer
    x = 733.45

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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.