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Finding the Fourth Proportional to 470.73, 649.46 and 271.53

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Solution

The fourth proportional to 470.73, 649.46 and 271.53 is: 374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.73 : 649.46 = 271.53 : x
  2. Step 2: Convert to fraction form
    470.73/649.46 = 271.53/x
  3. Step 3: Cross multiply
    470.73x = 649.46 × 271.53
  4. Step 4: Simplify right side
    470.73x = 176,347.92
  5. Step 5: Solve for x
    x = 176,347.92/470.73
  6. Step 6: Final answer
    x = 374.63

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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.