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Finding the Fourth Proportional to 649.62, 974.84 and 361.26

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Solution

The fourth proportional to 649.62, 974.84 and 361.26 is: 542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.62 : 974.84 = 361.26 : x
  2. Step 2: Convert to fraction form
    649.62/974.84 = 361.26/x
  3. Step 3: Cross multiply
    649.62x = 974.84 × 361.26
  4. Step 4: Simplify right side
    649.62x = 352,168.89
  5. Step 5: Solve for x
    x = 352,168.89/649.62
  6. Step 6: Final answer
    x = 542.12

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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.