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Finding the Fourth Proportional to 712.32, 1,061.04 and 634.56

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Solution

The fourth proportional to 712.32, 1,061.04 and 634.56 is: 945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.32 : 1,061.04 = 634.56 : x
  2. Step 2: Convert to fraction form
    712.32/1,061.04 = 634.56/x
  3. Step 3: Cross multiply
    712.32x = 1,061.04 × 634.56
  4. Step 4: Simplify right side
    712.32x = 673,293.54
  5. Step 5: Solve for x
    x = 673,293.54/712.32
  6. Step 6: Final answer
    x = 945.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.