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Finding the Fourth Proportional to 648.45, 972.74 and 215.51

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Solution

The fourth proportional to 648.45, 972.74 and 215.51 is: 323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.45 : 972.74 = 215.51 : x
  2. Step 2: Convert to fraction form
    648.45/972.74 = 215.51/x
  3. Step 3: Cross multiply
    648.45x = 972.74 × 215.51
  4. Step 4: Simplify right side
    648.45x = 209,630.87
  5. Step 5: Solve for x
    x = 209,630.87/648.45
  6. Step 6: Final answer
    x = 323.28

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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.