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Finding the Fourth Proportional to 712.22, 1,069.25 and 387.81

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Solution

The fourth proportional to 712.22, 1,069.25 and 387.81 is: 582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.22 : 1,069.25 = 387.81 : x
  2. Step 2: Convert to fraction form
    712.22/1,069.25 = 387.81/x
  3. Step 3: Cross multiply
    712.22x = 1,069.25 × 387.81
  4. Step 4: Simplify right side
    712.22x = 414,663.90
  5. Step 5: Solve for x
    x = 414,663.90/712.22
  6. Step 6: Final answer
    x = 582.22

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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.