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Finding the Fourth Proportional to 872.62, 1,203.10 and 714.67

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Solution

The fourth proportional to 872.62, 1,203.10 and 714.67 is: 985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.62 : 1,203.10 = 714.67 : x
  2. Step 2: Convert to fraction form
    872.62/1,203.10 = 714.67/x
  3. Step 3: Cross multiply
    872.62x = 1,203.10 × 714.67
  4. Step 4: Simplify right side
    872.62x = 859,819.80
  5. Step 5: Solve for x
    x = 859,819.80/872.62
  6. Step 6: Final answer
    x = 985.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.