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Finding the Fourth Proportional to 712.62, 1,063.41 and 630.61

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Solution

The fourth proportional to 712.62, 1,063.41 and 630.61 is: 941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.62 : 1,063.41 = 630.61 : x
  2. Step 2: Convert to fraction form
    712.62/1,063.41 = 630.61/x
  3. Step 3: Cross multiply
    712.62x = 1,063.41 × 630.61
  4. Step 4: Simplify right side
    712.62x = 670,594.32
  5. Step 5: Solve for x
    x = 670,594.32/712.62
  6. Step 6: Final answer
    x = 941.03

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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.