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Finding the Fourth Proportional to 460.62, 686.51 and 456.81

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Solution

The fourth proportional to 460.62, 686.51 and 456.81 is: 680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.62 : 686.51 = 456.81 : x
  2. Step 2: Convert to fraction form
    460.62/686.51 = 456.81/x
  3. Step 3: Cross multiply
    460.62x = 686.51 × 456.81
  4. Step 4: Simplify right side
    460.62x = 313,601.49
  5. Step 5: Solve for x
    x = 313,601.49/460.62
  6. Step 6: Final answer
    x = 680.82

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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.