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Finding the Fourth Proportional to 648.16, 972.16 and 323.76

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Solution

The fourth proportional to 648.16, 972.16 and 323.76 is: 485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 972.16 = 323.76 : x
  2. Step 2: Convert to fraction form
    648.16/972.16 = 323.76/x
  3. Step 3: Cross multiply
    648.16x = 972.16 × 323.76
  4. Step 4: Simplify right side
    648.16x = 314,746.52
  5. Step 5: Solve for x
    x = 314,746.52/648.16
  6. Step 6: Final answer
    x = 485.60

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.