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Finding the Fourth Proportional to 470.07, 648.87 and 353.97

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Solution

The fourth proportional to 470.07, 648.87 and 353.97 is: 488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.07 : 648.87 = 353.97 : x
  2. Step 2: Convert to fraction form
    470.07/648.87 = 353.97/x
  3. Step 3: Cross multiply
    470.07x = 648.87 × 353.97
  4. Step 4: Simplify right side
    470.07x = 229,680.51
  5. Step 5: Solve for x
    x = 229,680.51/470.07
  6. Step 6: Final answer
    x = 488.61

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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.