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Finding the Fourth Proportional to 470.48, 648.54 and 322.79

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Solution

The fourth proportional to 470.48, 648.54 and 322.79 is: 444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 648.54 = 322.79 : x
  2. Step 2: Convert to fraction form
    470.48/648.54 = 322.79/x
  3. Step 3: Cross multiply
    470.48x = 648.54 × 322.79
  4. Step 4: Simplify right side
    470.48x = 209,338.98
  5. Step 5: Solve for x
    x = 209,338.98/470.48
  6. Step 6: Final answer
    x = 444.95

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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.