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Finding the Fourth Proportional to 691.76, 1,036.97 and 252.67

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Solution

The fourth proportional to 691.76, 1,036.97 and 252.67 is: 378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.76 : 1,036.97 = 252.67 : x
  2. Step 2: Convert to fraction form
    691.76/1,036.97 = 252.67/x
  3. Step 3: Cross multiply
    691.76x = 1,036.97 × 252.67
  4. Step 4: Simplify right side
    691.76x = 262,010.25
  5. Step 5: Solve for x
    x = 262,010.25/691.76
  6. Step 6: Final answer
    x = 378.76

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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.