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Finding the Fourth Proportional to 712.57, 1,069.01 and 301.71

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Solution

The fourth proportional to 712.57, 1,069.01 and 301.71 is: 452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.57 : 1,069.01 = 301.71 : x
  2. Step 2: Convert to fraction form
    712.57/1,069.01 = 301.71/x
  3. Step 3: Cross multiply
    712.57x = 1,069.01 × 301.71
  4. Step 4: Simplify right side
    712.57x = 322,531.01
  5. Step 5: Solve for x
    x = 322,531.01/712.57
  6. Step 6: Final answer
    x = 452.63

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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.