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Finding the Fourth Proportional to 908.03, 1,252.08 and 686.57

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Solution

The fourth proportional to 908.03, 1,252.08 and 686.57 is: 946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.03 : 1,252.08 = 686.57 : x
  2. Step 2: Convert to fraction form
    908.03/1,252.08 = 686.57/x
  3. Step 3: Cross multiply
    908.03x = 1,252.08 × 686.57
  4. Step 4: Simplify right side
    908.03x = 859,640.57
  5. Step 5: Solve for x
    x = 859,640.57/908.03
  6. Step 6: Final answer
    x = 946.71

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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.