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Finding the Fourth Proportional to 649.43, 974.14 and 389.50

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Solution

The fourth proportional to 649.43, 974.14 and 389.50 is: 584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.43 : 974.14 = 389.50 : x
  2. Step 2: Convert to fraction form
    649.43/974.14 = 389.50/x
  3. Step 3: Cross multiply
    649.43x = 974.14 × 389.50
  4. Step 4: Simplify right side
    649.43x = 379,427.53
  5. Step 5: Solve for x
    x = 379,427.53/649.43
  6. Step 6: Final answer
    x = 584.25

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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.