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Finding the Fourth Proportional to 832.78, 1,149.22 and 534.30

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Solution

The fourth proportional to 832.78, 1,149.22 and 534.30 is: 737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.78 : 1,149.22 = 534.30 : x
  2. Step 2: Convert to fraction form
    832.78/1,149.22 = 534.30/x
  3. Step 3: Cross multiply
    832.78x = 1,149.22 × 534.30
  4. Step 4: Simplify right side
    832.78x = 614,028.25
  5. Step 5: Solve for x
    x = 614,028.25/832.78
  6. Step 6: Final answer
    x = 737.32

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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.