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Finding the Fourth Proportional to 709.27, 1,062.88 and 448.54

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Solution

The fourth proportional to 709.27, 1,062.88 and 448.54 is: 672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.27 : 1,062.88 = 448.54 : x
  2. Step 2: Convert to fraction form
    709.27/1,062.88 = 448.54/x
  3. Step 3: Cross multiply
    709.27x = 1,062.88 × 448.54
  4. Step 4: Simplify right side
    709.27x = 476,744.20
  5. Step 5: Solve for x
    x = 476,744.20/709.27
  6. Step 6: Final answer
    x = 672.16

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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.