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Finding the Fourth Proportional to 460.56, 686.84 and 454.36

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Solution

The fourth proportional to 460.56, 686.84 and 454.36 is: 677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.56 : 686.84 = 454.36 : x
  2. Step 2: Convert to fraction form
    460.56/686.84 = 454.36/x
  3. Step 3: Cross multiply
    460.56x = 686.84 × 454.36
  4. Step 4: Simplify right side
    460.56x = 312,072.62
  5. Step 5: Solve for x
    x = 312,072.62/460.56
  6. Step 6: Final answer
    x = 677.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.