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Finding the Fourth Proportional to 832.47, 1,148.55 and 500.97

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Solution

The fourth proportional to 832.47, 1,148.55 and 500.97 is: 691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.47 : 1,148.55 = 500.97 : x
  2. Step 2: Convert to fraction form
    832.47/1,148.55 = 500.97/x
  3. Step 3: Cross multiply
    832.47x = 1,148.55 × 500.97
  4. Step 4: Simplify right side
    832.47x = 575,389.09
  5. Step 5: Solve for x
    x = 575,389.09/832.47
  6. Step 6: Final answer
    x = 691.18

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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.