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Finding the Fourth Proportional to 457.74, 689.13 and 371.88

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Solution

The fourth proportional to 457.74, 689.13 and 371.88 is: 559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.74 : 689.13 = 371.88 : x
  2. Step 2: Convert to fraction form
    457.74/689.13 = 371.88/x
  3. Step 3: Cross multiply
    457.74x = 689.13 × 371.88
  4. Step 4: Simplify right side
    457.74x = 256,273.66
  5. Step 5: Solve for x
    x = 256,273.66/457.74
  6. Step 6: Final answer
    x = 559.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.