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Finding the Fourth Proportional to 457.25, 685.67 and 283.91

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Solution

The fourth proportional to 457.25, 685.67 and 283.91 is: 425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.25 : 685.67 = 283.91 : x
  2. Step 2: Convert to fraction form
    457.25/685.67 = 283.91/x
  3. Step 3: Cross multiply
    457.25x = 685.67 × 283.91
  4. Step 4: Simplify right side
    457.25x = 194,663.72
  5. Step 5: Solve for x
    x = 194,663.72/457.25
  6. Step 6: Final answer
    x = 425.73

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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.