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Finding the Fourth Proportional to 649.56, 973.77 and 324.75

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Solution

The fourth proportional to 649.56, 973.77 and 324.75 is: 486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.56 : 973.77 = 324.75 : x
  2. Step 2: Convert to fraction form
    649.56/973.77 = 324.75/x
  3. Step 3: Cross multiply
    649.56x = 973.77 × 324.75
  4. Step 4: Simplify right side
    649.56x = 316,226.94
  5. Step 5: Solve for x
    x = 316,226.94/649.56
  6. Step 6: Final answer
    x = 486.84

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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.