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Finding the Fourth Proportional to 742.15, 1,112.01 and 494.90

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Solution

The fourth proportional to 742.15, 1,112.01 and 494.90 is: 741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.15 : 1,112.01 = 494.90 : x
  2. Step 2: Convert to fraction form
    742.15/1,112.01 = 494.90/x
  3. Step 3: Cross multiply
    742.15x = 1,112.01 × 494.90
  4. Step 4: Simplify right side
    742.15x = 550,333.75
  5. Step 5: Solve for x
    x = 550,333.75/742.15
  6. Step 6: Final answer
    x = 741.54

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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.