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Finding the Fourth Proportional to 956.07, 1,427.18 and 826.92

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Solution

The fourth proportional to 956.07, 1,427.18 and 826.92 is: 1,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.07 : 1,427.18 = 826.92 : x
  2. Step 2: Convert to fraction form
    956.07/1,427.18 = 826.92/x
  3. Step 3: Cross multiply
    956.07x = 1,427.18 × 826.92
  4. Step 4: Simplify right side
    956.07x = 1,180,159.55
  5. Step 5: Solve for x
    x = 1,180,159.55/956.07
  6. Step 6: Final answer
    x = 1,234.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.