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Finding the Fourth Proportional to 862.32, 1,184.88 and 763.92

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Solution

The fourth proportional to 862.32, 1,184.88 and 763.92 is: 1,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.32 : 1,184.88 = 763.92 : x
  2. Step 2: Convert to fraction form
    862.32/1,184.88 = 763.92/x
  3. Step 3: Cross multiply
    862.32x = 1,184.88 × 763.92
  4. Step 4: Simplify right side
    862.32x = 905,153.53
  5. Step 5: Solve for x
    x = 905,153.53/862.32
  6. Step 6: Final answer
    x = 1,049.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.