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Finding the Fourth Proportional to 572.87, 860.61 and 408.75

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Solution

The fourth proportional to 572.87, 860.61 and 408.75 is: 614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.87 : 860.61 = 408.75 : x
  2. Step 2: Convert to fraction form
    572.87/860.61 = 408.75/x
  3. Step 3: Cross multiply
    572.87x = 860.61 × 408.75
  4. Step 4: Simplify right side
    572.87x = 351,774.34
  5. Step 5: Solve for x
    x = 351,774.34/572.87
  6. Step 6: Final answer
    x = 614.06

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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.