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Finding the Fourth Proportional to 832.73, 1,149.20 and 501.02

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Solution

The fourth proportional to 832.73, 1,149.20 and 501.02 is: 691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.73 : 1,149.20 = 501.02 : x
  2. Step 2: Convert to fraction form
    832.73/1,149.20 = 501.02/x
  3. Step 3: Cross multiply
    832.73x = 1,149.20 × 501.02
  4. Step 4: Simplify right side
    832.73x = 575,769.68
  5. Step 5: Solve for x
    x = 575,769.68/832.73
  6. Step 6: Final answer
    x = 691.42

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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.