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Finding the Fourth Proportional to 716.26, 1,071.42 and 672.52

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Solution

The fourth proportional to 716.26, 1,071.42 and 672.52 is: 1,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.26 : 1,071.42 = 672.52 : x
  2. Step 2: Convert to fraction form
    716.26/1,071.42 = 672.52/x
  3. Step 3: Cross multiply
    716.26x = 1,071.42 × 672.52
  4. Step 4: Simplify right side
    716.26x = 720,551.38
  5. Step 5: Solve for x
    x = 720,551.38/716.26
  6. Step 6: Final answer
    x = 1,005.99

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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.