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Finding the Fourth Proportional to 460.80, 686.08 and 454.40

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Solution

The fourth proportional to 460.80, 686.08 and 454.40 is: 676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 686.08 = 454.40 : x
  2. Step 2: Convert to fraction form
    460.80/686.08 = 454.40/x
  3. Step 3: Cross multiply
    460.80x = 686.08 × 454.40
  4. Step 4: Simplify right side
    460.80x = 311,754.75
  5. Step 5: Solve for x
    x = 311,754.75/460.80
  6. Step 6: Final answer
    x = 676.55

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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.