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Finding the Fourth Proportional to 872.01, 1,306.74 and 438.57

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Solution

The fourth proportional to 872.01, 1,306.74 and 438.57 is: 657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.01 : 1,306.74 = 438.57 : x
  2. Step 2: Convert to fraction form
    872.01/1,306.74 = 438.57/x
  3. Step 3: Cross multiply
    872.01x = 1,306.74 × 438.57
  4. Step 4: Simplify right side
    872.01x = 573,096.96
  5. Step 5: Solve for x
    x = 573,096.96/872.01
  6. Step 6: Final answer
    x = 657.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.