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Finding the Fourth Proportional to 460.76, 633.25 and 447.80

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Solution

The fourth proportional to 460.76, 633.25 and 447.80 is: 615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.76 : 633.25 = 447.80 : x
  2. Step 2: Convert to fraction form
    460.76/633.25 = 447.80/x
  3. Step 3: Cross multiply
    460.76x = 633.25 × 447.80
  4. Step 4: Simplify right side
    460.76x = 283,569.35
  5. Step 5: Solve for x
    x = 283,569.35/460.76
  6. Step 6: Final answer
    x = 615.44

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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.