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Finding the Fourth Proportional to 460.30, 684.92 and 458.76

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Solution

The fourth proportional to 460.30, 684.92 and 458.76 is: 682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.30 : 684.92 = 458.76 : x
  2. Step 2: Convert to fraction form
    460.30/684.92 = 458.76/x
  3. Step 3: Cross multiply
    460.30x = 684.92 × 458.76
  4. Step 4: Simplify right side
    460.30x = 314,213.90
  5. Step 5: Solve for x
    x = 314,213.90/460.30
  6. Step 6: Final answer
    x = 682.63

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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.