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Finding the Fourth Proportional to 741.72, 1,023.16 and 489.14

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Solution

The fourth proportional to 741.72, 1,023.16 and 489.14 is: 674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.72 : 1,023.16 = 489.14 : x
  2. Step 2: Convert to fraction form
    741.72/1,023.16 = 489.14/x
  3. Step 3: Cross multiply
    741.72x = 1,023.16 × 489.14
  4. Step 4: Simplify right side
    741.72x = 500,471.28
  5. Step 5: Solve for x
    x = 500,471.28/741.72
  6. Step 6: Final answer
    x = 674.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.