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Finding the Fourth Proportional to 649.89, 974.03 and 375.40

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Solution

The fourth proportional to 649.89, 974.03 and 375.40 is: 562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.89 : 974.03 = 375.40 : x
  2. Step 2: Convert to fraction form
    649.89/974.03 = 375.40/x
  3. Step 3: Cross multiply
    649.89x = 974.03 × 375.40
  4. Step 4: Simplify right side
    649.89x = 365,650.20
  5. Step 5: Solve for x
    x = 365,650.20/649.89
  6. Step 6: Final answer
    x = 562.63

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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.