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Finding the Fourth Proportional to 460.72, 630.28 and 458.76

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Solution

The fourth proportional to 460.72, 630.28 and 458.76 is: 627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.72 : 630.28 = 458.76 : x
  2. Step 2: Convert to fraction form
    460.72/630.28 = 458.76/x
  3. Step 3: Cross multiply
    460.72x = 630.28 × 458.76
  4. Step 4: Simplify right side
    460.72x = 289,147.25
  5. Step 5: Solve for x
    x = 289,147.25/460.72
  6. Step 6: Final answer
    x = 627.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.