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Finding the Fourth Proportional to 709.58, 1,062.69 and 448.80

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Solution

The fourth proportional to 709.58, 1,062.69 and 448.80 is: 672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.58 : 1,062.69 = 448.80 : x
  2. Step 2: Convert to fraction form
    709.58/1,062.69 = 448.80/x
  3. Step 3: Cross multiply
    709.58x = 1,062.69 × 448.80
  4. Step 4: Simplify right side
    709.58x = 476,935.27
  5. Step 5: Solve for x
    x = 476,935.27/709.58
  6. Step 6: Final answer
    x = 672.14

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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.