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Finding the Fourth Proportional to 648.66, 972.90 and 215.82

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Solution

The fourth proportional to 648.66, 972.90 and 215.82 is: 323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.66 : 972.90 = 215.82 : x
  2. Step 2: Convert to fraction form
    648.66/972.90 = 215.82/x
  3. Step 3: Cross multiply
    648.66x = 972.90 × 215.82
  4. Step 4: Simplify right side
    648.66x = 209,971.28
  5. Step 5: Solve for x
    x = 209,971.28/648.66
  6. Step 6: Final answer
    x = 323.70

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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.