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Finding the Fourth Proportional to 457.66, 685.98 and 380.17

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Solution

The fourth proportional to 457.66, 685.98 and 380.17 is: 569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.66 : 685.98 = 380.17 : x
  2. Step 2: Convert to fraction form
    457.66/685.98 = 380.17/x
  3. Step 3: Cross multiply
    457.66x = 685.98 × 380.17
  4. Step 4: Simplify right side
    457.66x = 260,789.02
  5. Step 5: Solve for x
    x = 260,789.02/457.66
  6. Step 6: Final answer
    x = 569.83

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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.