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Finding the Fourth Proportional to 649.45, 974.67 and 324.64

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Solution

The fourth proportional to 649.45, 974.67 and 324.64 is: 487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.45 : 974.67 = 324.64 : x
  2. Step 2: Convert to fraction form
    649.45/974.67 = 324.64/x
  3. Step 3: Cross multiply
    649.45x = 974.67 × 324.64
  4. Step 4: Simplify right side
    649.45x = 316,416.87
  5. Step 5: Solve for x
    x = 316,416.87/649.45
  6. Step 6: Final answer
    x = 487.21

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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.