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Finding the Fourth Proportional to 649.53, 974.30 and 375.45

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Solution

The fourth proportional to 649.53, 974.30 and 375.45 is: 563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.53 : 974.30 = 375.45 : x
  2. Step 2: Convert to fraction form
    649.53/974.30 = 375.45/x
  3. Step 3: Cross multiply
    649.53x = 974.30 × 375.45
  4. Step 4: Simplify right side
    649.53x = 365,799.06
  5. Step 5: Solve for x
    x = 365,799.06/649.53
  6. Step 6: Final answer
    x = 563.18

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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.