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Finding the Fourth Proportional to 826.74, 1,237.17 and 712.53

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Solution

The fourth proportional to 826.74, 1,237.17 and 712.53 is: 1,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.74 : 1,237.17 = 712.53 : x
  2. Step 2: Convert to fraction form
    826.74/1,237.17 = 712.53/x
  3. Step 3: Cross multiply
    826.74x = 1,237.17 × 712.53
  4. Step 4: Simplify right side
    826.74x = 881,523.41
  5. Step 5: Solve for x
    x = 881,523.41/826.74
  6. Step 6: Final answer
    x = 1,066.26

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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.