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Finding the Fourth Proportional to 648.24, 972.92 and 432.08

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Solution

The fourth proportional to 648.24, 972.92 and 432.08 is: 648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.24 : 972.92 = 432.08 : x
  2. Step 2: Convert to fraction form
    648.24/972.92 = 432.08/x
  3. Step 3: Cross multiply
    648.24x = 972.92 × 432.08
  4. Step 4: Simplify right side
    648.24x = 420,379.27
  5. Step 5: Solve for x
    x = 420,379.27/648.24
  6. Step 6: Final answer
    x = 648.49

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Double scale
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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.