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Finding the Fourth Proportional to 832.74, 1,149.45 and 537.78

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Solution

The fourth proportional to 832.74, 1,149.45 and 537.78 is: 742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.74 : 1,149.45 = 537.78 : x
  2. Step 2: Convert to fraction form
    832.74/1,149.45 = 537.78/x
  3. Step 3: Cross multiply
    832.74x = 1,149.45 × 537.78
  4. Step 4: Simplify right side
    832.74x = 618,151.22
  5. Step 5: Solve for x
    x = 618,151.22/832.74
  6. Step 6: Final answer
    x = 742.31

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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.