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Finding the Fourth Proportional to 826.14, 1,240.65 and 761.02

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Solution

The fourth proportional to 826.14, 1,240.65 and 761.02 is: 1,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.14 : 1,240.65 = 761.02 : x
  2. Step 2: Convert to fraction form
    826.14/1,240.65 = 761.02/x
  3. Step 3: Cross multiply
    826.14x = 1,240.65 × 761.02
  4. Step 4: Simplify right side
    826.14x = 944,159.46
  5. Step 5: Solve for x
    x = 944,159.46/826.14
  6. Step 6: Final answer
    x = 1,142.86

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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.