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Finding the Fourth Proportional to 649.16, 973.68 and 324.76

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Solution

The fourth proportional to 649.16, 973.68 and 324.76 is: 487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.16 : 973.68 = 324.76 : x
  2. Step 2: Convert to fraction form
    649.16/973.68 = 324.76/x
  3. Step 3: Cross multiply
    649.16x = 973.68 × 324.76
  4. Step 4: Simplify right side
    649.16x = 316,212.32
  5. Step 5: Solve for x
    x = 316,212.32/649.16
  6. Step 6: Final answer
    x = 487.11

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Double scale
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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.