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Finding the Fourth Proportional to 648.25, 972.04 and 319.21

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Solution

The fourth proportional to 648.25, 972.04 and 319.21 is: 478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.25 : 972.04 = 319.21 : x
  2. Step 2: Convert to fraction form
    648.25/972.04 = 319.21/x
  3. Step 3: Cross multiply
    648.25x = 972.04 × 319.21
  4. Step 4: Simplify right side
    648.25x = 310,281.66
  5. Step 5: Solve for x
    x = 310,281.66/648.25
  6. Step 6: Final answer
    x = 478.65

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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.