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Finding the Fourth Proportional to 826.52, 1,238.38 and 461.10

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Solution

The fourth proportional to 826.52, 1,238.38 and 461.10 is: 690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.52 : 1,238.38 = 461.10 : x
  2. Step 2: Convert to fraction form
    826.52/1,238.38 = 461.10/x
  3. Step 3: Cross multiply
    826.52x = 1,238.38 × 461.10
  4. Step 4: Simplify right side
    826.52x = 571,017.02
  5. Step 5: Solve for x
    x = 571,017.02/826.52
  6. Step 6: Final answer
    x = 690.87

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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.