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Finding the Fourth Proportional to 687.93, 1,031.88 and 167.93

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Solution

The fourth proportional to 687.93, 1,031.88 and 167.93 is: 251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.93 : 1,031.88 = 167.93 : x
  2. Step 2: Convert to fraction form
    687.93/1,031.88 = 167.93/x
  3. Step 3: Cross multiply
    687.93x = 1,031.88 × 167.93
  4. Step 4: Simplify right side
    687.93x = 173,286.19
  5. Step 5: Solve for x
    x = 173,286.19/687.93
  6. Step 6: Final answer
    x = 251.90

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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.