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Finding the Fourth Proportional to 862.84, 1,291.17 and 747.68

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Solution

The fourth proportional to 862.84, 1,291.17 and 747.68 is: 1,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.84 : 1,291.17 = 747.68 : x
  2. Step 2: Convert to fraction form
    862.84/1,291.17 = 747.68/x
  3. Step 3: Cross multiply
    862.84x = 1,291.17 × 747.68
  4. Step 4: Simplify right side
    862.84x = 965,381.99
  5. Step 5: Solve for x
    x = 965,381.99/862.84
  6. Step 6: Final answer
    x = 1,118.84

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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.