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Finding the Fourth Proportional to 470.57, 648.78 and 322.94

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Solution

The fourth proportional to 470.57, 648.78 and 322.94 is: 445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 648.78 = 322.94 : x
  2. Step 2: Convert to fraction form
    470.57/648.78 = 322.94/x
  3. Step 3: Cross multiply
    470.57x = 648.78 × 322.94
  4. Step 4: Simplify right side
    470.57x = 209,517.01
  5. Step 5: Solve for x
    x = 209,517.01/470.57
  6. Step 6: Final answer
    x = 445.24

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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.