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Finding the Fourth Proportional to 649.22, 974.03 and 473.19

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Solution

The fourth proportional to 649.22, 974.03 and 473.19 is: 709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.22 : 974.03 = 473.19 : x
  2. Step 2: Convert to fraction form
    649.22/974.03 = 473.19/x
  3. Step 3: Cross multiply
    649.22x = 974.03 × 473.19
  4. Step 4: Simplify right side
    649.22x = 460,900.72
  5. Step 5: Solve for x
    x = 460,900.72/649.22
  6. Step 6: Final answer
    x = 709.94

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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.