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Finding the Fourth Proportional to 581.45, 872.01 and 408.02

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Solution

The fourth proportional to 581.45, 872.01 and 408.02 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.45 : 872.01 = 408.02 : x
  2. Step 2: Convert to fraction form
    581.45/872.01 = 408.02/x
  3. Step 3: Cross multiply
    581.45x = 872.01 × 408.02
  4. Step 4: Simplify right side
    581.45x = 355,793.16
  5. Step 5: Solve for x
    x = 355,793.16/581.45
  6. Step 6: Final answer
    x = 611.91

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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.