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Finding the Fourth Proportional to 832.61, 1,250.36 and 688.61

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Solution

The fourth proportional to 832.61, 1,250.36 and 688.61 is: 1,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.61 : 1,250.36 = 688.61 : x
  2. Step 2: Convert to fraction form
    832.61/1,250.36 = 688.61/x
  3. Step 3: Cross multiply
    832.61x = 1,250.36 × 688.61
  4. Step 4: Simplify right side
    832.61x = 861,010.40
  5. Step 5: Solve for x
    x = 861,010.40/832.61
  6. Step 6: Final answer
    x = 1,034.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.