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Finding the Fourth Proportional to 575.74, 862.17 and 454.66

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Solution

The fourth proportional to 575.74, 862.17 and 454.66 is: 680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.74 : 862.17 = 454.66 : x
  2. Step 2: Convert to fraction form
    575.74/862.17 = 454.66/x
  3. Step 3: Cross multiply
    575.74x = 862.17 × 454.66
  4. Step 4: Simplify right side
    575.74x = 391,994.21
  5. Step 5: Solve for x
    x = 391,994.21/575.74
  6. Step 6: Final answer
    x = 680.85

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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.