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Finding the Fourth Proportional to 648.80, 972.36 and 432.56

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Solution

The fourth proportional to 648.80, 972.36 and 432.56 is: 648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.80 : 972.36 = 432.56 : x
  2. Step 2: Convert to fraction form
    648.80/972.36 = 432.56/x
  3. Step 3: Cross multiply
    648.80x = 972.36 × 432.56
  4. Step 4: Simplify right side
    648.80x = 420,604.04
  5. Step 5: Solve for x
    x = 420,604.04/648.80
  6. Step 6: Final answer
    x = 648.28

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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.