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Finding the Fourth Proportional to 649.44, 974.43 and 216.63

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Solution

The fourth proportional to 649.44, 974.43 and 216.63 is: 325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 974.43 = 216.63 : x
  2. Step 2: Convert to fraction form
    649.44/974.43 = 216.63/x
  3. Step 3: Cross multiply
    649.44x = 974.43 × 216.63
  4. Step 4: Simplify right side
    649.44x = 211,090.77
  5. Step 5: Solve for x
    x = 211,090.77/649.44
  6. Step 6: Final answer
    x = 325.04

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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.