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Finding the Fourth Proportional to 832.88, 1,149.42 and 538.40

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Solution

The fourth proportional to 832.88, 1,149.42 and 538.40 is: 743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.88 : 1,149.42 = 538.40 : x
  2. Step 2: Convert to fraction form
    832.88/1,149.42 = 538.40/x
  3. Step 3: Cross multiply
    832.88x = 1,149.42 × 538.40
  4. Step 4: Simplify right side
    832.88x = 618,847.73
  5. Step 5: Solve for x
    x = 618,847.73/832.88
  6. Step 6: Final answer
    x = 743.02

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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.