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Finding the Fourth Proportional to 457.75, 689.74 and 408.03

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Solution

The fourth proportional to 457.75, 689.74 and 408.03 is: 614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.75 : 689.74 = 408.03 : x
  2. Step 2: Convert to fraction form
    457.75/689.74 = 408.03/x
  3. Step 3: Cross multiply
    457.75x = 689.74 × 408.03
  4. Step 4: Simplify right side
    457.75x = 281,434.61
  5. Step 5: Solve for x
    x = 281,434.61/457.75
  6. Step 6: Final answer
    x = 614.82

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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.