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Finding the Fourth Proportional to 742.79, 1,111.85 and 496.19

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Solution

The fourth proportional to 742.79, 1,111.85 and 496.19 is: 742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.79 : 1,111.85 = 496.19 : x
  2. Step 2: Convert to fraction form
    742.79/1,111.85 = 496.19/x
  3. Step 3: Cross multiply
    742.79x = 1,111.85 × 496.19
  4. Step 4: Simplify right side
    742.79x = 551,684.53
  5. Step 5: Solve for x
    x = 551,684.53/742.79
  6. Step 6: Final answer
    x = 742.72

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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.