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Finding the Fourth Proportional to 572.31, 859.74 and 408.18

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Solution

The fourth proportional to 572.31, 859.74 and 408.18 is: 613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.31 : 859.74 = 408.18 : x
  2. Step 2: Convert to fraction form
    572.31/859.74 = 408.18/x
  3. Step 3: Cross multiply
    572.31x = 859.74 × 408.18
  4. Step 4: Simplify right side
    572.31x = 350,928.67
  5. Step 5: Solve for x
    x = 350,928.67/572.31
  6. Step 6: Final answer
    x = 613.18

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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.