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Finding the Fourth Proportional to 649.63, 973.72 and 324.28

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Solution

The fourth proportional to 649.63, 973.72 and 324.28 is: 486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.63 : 973.72 = 324.28 : x
  2. Step 2: Convert to fraction form
    649.63/973.72 = 324.28/x
  3. Step 3: Cross multiply
    649.63x = 973.72 × 324.28
  4. Step 4: Simplify right side
    649.63x = 315,757.92
  5. Step 5: Solve for x
    x = 315,757.92/649.63
  6. Step 6: Final answer
    x = 486.06

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.