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Finding the Fourth Proportional to 908.27, 1,253.46 and 686.83

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Solution

The fourth proportional to 908.27, 1,253.46 and 686.83 is: 947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.27 : 1,253.46 = 686.83 : x
  2. Step 2: Convert to fraction form
    908.27/1,253.46 = 686.83/x
  3. Step 3: Cross multiply
    908.27x = 1,253.46 × 686.83
  4. Step 4: Simplify right side
    908.27x = 860,913.93
  5. Step 5: Solve for x
    x = 860,913.93/908.27
  6. Step 6: Final answer
    x = 947.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.