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Finding the Fourth Proportional to 648.10, 972.06 and 323.56

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Solution

The fourth proportional to 648.10, 972.06 and 323.56 is: 485.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.10 : 972.06 = 323.56 : x
  2. Step 2: Convert to fraction form
    648.10/972.06 = 323.56/x
  3. Step 3: Cross multiply
    648.10x = 972.06 × 323.56
  4. Step 4: Simplify right side
    648.10x = 314,519.73
  5. Step 5: Solve for x
    x = 314,519.73/648.10
  6. Step 6: Final answer
    x = 485.30

Related Problems

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Half scale
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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.