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Finding the Fourth Proportional to 649.65, 974.10 and 375.66

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Solution

The fourth proportional to 649.65, 974.10 and 375.66 is: 563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.65 : 974.10 = 375.66 : x
  2. Step 2: Convert to fraction form
    649.65/974.10 = 375.66/x
  3. Step 3: Cross multiply
    649.65x = 974.10 × 375.66
  4. Step 4: Simplify right side
    649.65x = 365,930.41
  5. Step 5: Solve for x
    x = 365,930.41/649.65
  6. Step 6: Final answer
    x = 563.27

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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.