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Finding the Fourth Proportional to 460.49, 633.51 and 416.34

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Solution

The fourth proportional to 460.49, 633.51 and 416.34 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.49 : 633.51 = 416.34 : x
  2. Step 2: Convert to fraction form
    460.49/633.51 = 416.34/x
  3. Step 3: Cross multiply
    460.49x = 633.51 × 416.34
  4. Step 4: Simplify right side
    460.49x = 263,755.55
  5. Step 5: Solve for x
    x = 263,755.55/460.49
  6. Step 6: Final answer
    x = 572.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.