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Finding the Fourth Proportional to 872.28, 1,202.58 and 707.04

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Solution

The fourth proportional to 872.28, 1,202.58 and 707.04 is: 974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.28 : 1,202.58 = 707.04 : x
  2. Step 2: Convert to fraction form
    872.28/1,202.58 = 707.04/x
  3. Step 3: Cross multiply
    872.28x = 1,202.58 × 707.04
  4. Step 4: Simplify right side
    872.28x = 850,272.16
  5. Step 5: Solve for x
    x = 850,272.16/872.28
  6. Step 6: Final answer
    x = 974.77

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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.