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Finding the Fourth Proportional to 649.64, 974.74 and 361.28

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Solution

The fourth proportional to 649.64, 974.74 and 361.28 is: 542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 974.74 = 361.28 : x
  2. Step 2: Convert to fraction form
    649.64/974.74 = 361.28/x
  3. Step 3: Cross multiply
    649.64x = 974.74 × 361.28
  4. Step 4: Simplify right side
    649.64x = 352,154.07
  5. Step 5: Solve for x
    x = 352,154.07/649.64
  6. Step 6: Final answer
    x = 542.08

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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.