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Finding the Fourth Proportional to 748.01, 1,116.66 and 742.84

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Solution

The fourth proportional to 748.01, 1,116.66 and 742.84 is: 1,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.01 : 1,116.66 = 742.84 : x
  2. Step 2: Convert to fraction form
    748.01/1,116.66 = 742.84/x
  3. Step 3: Cross multiply
    748.01x = 1,116.66 × 742.84
  4. Step 4: Simplify right side
    748.01x = 829,503.90
  5. Step 5: Solve for x
    x = 829,503.90/748.01
  6. Step 6: Final answer
    x = 1,108.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.