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Finding the Fourth Proportional to 648.55, 972.06 and 323.25

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Solution

The fourth proportional to 648.55, 972.06 and 323.25 is: 484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.55 : 972.06 = 323.25 : x
  2. Step 2: Convert to fraction form
    648.55/972.06 = 323.25/x
  3. Step 3: Cross multiply
    648.55x = 972.06 × 323.25
  4. Step 4: Simplify right side
    648.55x = 314,218.40
  5. Step 5: Solve for x
    x = 314,218.40/648.55
  6. Step 6: Final answer
    x = 484.49

Related Problems

Find fourth proportional to 324.28, 486.03 and 161.63
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.