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Finding the Fourth Proportional to 473.70, 649.82 and 461.60

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Solution

The fourth proportional to 473.70, 649.82 and 461.60 is: 633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.70 : 649.82 = 461.60 : x
  2. Step 2: Convert to fraction form
    473.70/649.82 = 461.60/x
  3. Step 3: Cross multiply
    473.70x = 649.82 × 461.60
  4. Step 4: Simplify right side
    473.70x = 299,957.25
  5. Step 5: Solve for x
    x = 299,957.25/473.70
  6. Step 6: Final answer
    x = 633.22

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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.