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Finding the Fourth Proportional to 687.77, 1,031.64 and 167.77

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Solution

The fourth proportional to 687.77, 1,031.64 and 167.77 is: 251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.77 : 1,031.64 = 167.77 : x
  2. Step 2: Convert to fraction form
    687.77/1,031.64 = 167.77/x
  3. Step 3: Cross multiply
    687.77x = 1,031.64 × 167.77
  4. Step 4: Simplify right side
    687.77x = 173,077.40
  5. Step 5: Solve for x
    x = 173,077.40/687.77
  6. Step 6: Final answer
    x = 251.65

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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.