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Finding the Fourth Proportional to 648.48, 972.41 and 209.65

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Solution

The fourth proportional to 648.48, 972.41 and 209.65 is: 314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.48 : 972.41 = 209.65 : x
  2. Step 2: Convert to fraction form
    648.48/972.41 = 209.65/x
  3. Step 3: Cross multiply
    648.48x = 972.41 × 209.65
  4. Step 4: Simplify right side
    648.48x = 203,865.76
  5. Step 5: Solve for x
    x = 203,865.76/648.48
  6. Step 6: Final answer
    x = 314.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.