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Finding the Fourth Proportional to 648.72, 972.90 and 323.94

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Solution

The fourth proportional to 648.72, 972.90 and 323.94 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.72 : 972.90 = 323.94 : x
  2. Step 2: Convert to fraction form
    648.72/972.90 = 323.94/x
  3. Step 3: Cross multiply
    648.72x = 972.90 × 323.94
  4. Step 4: Simplify right side
    648.72x = 315,161.23
  5. Step 5: Solve for x
    x = 315,161.23/648.72
  6. Step 6: Final answer
    x = 485.82

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Double scale
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Similar ratio
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1.5x scale

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.