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Finding the Fourth Proportional to 649.89, 974.82 and 389.96

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Solution

The fourth proportional to 649.89, 974.82 and 389.96 is: 584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.89 : 974.82 = 389.96 : x
  2. Step 2: Convert to fraction form
    649.89/974.82 = 389.96/x
  3. Step 3: Cross multiply
    649.89x = 974.82 × 389.96
  4. Step 4: Simplify right side
    649.89x = 380,140.81
  5. Step 5: Solve for x
    x = 380,140.81/649.89
  6. Step 6: Final answer
    x = 584.93

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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.