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Finding the Fourth Proportional to 872.12, 1,202.29 and 714.02

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Solution

The fourth proportional to 872.12, 1,202.29 and 714.02 is: 984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.12 : 1,202.29 = 714.02 : x
  2. Step 2: Convert to fraction form
    872.12/1,202.29 = 714.02/x
  3. Step 3: Cross multiply
    872.12x = 1,202.29 × 714.02
  4. Step 4: Simplify right side
    872.12x = 858,455.33
  5. Step 5: Solve for x
    x = 858,455.33/872.12
  6. Step 6: Final answer
    x = 984.34

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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.