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Finding the Fourth Proportional to 2,209.49, 3,314.75 and 649.61

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Solution

The fourth proportional to 2,209.49, 3,314.75 and 649.61 is: 974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.49 : 3,314.75 = 649.61 : x
  2. Step 2: Convert to fraction form
    2,209.49/3,314.75 = 649.61/x
  3. Step 3: Cross multiply
    2,209.49x = 3,314.75 × 649.61
  4. Step 4: Simplify right side
    2,209.49x = 2,153,299.79
  5. Step 5: Solve for x
    x = 2,153,299.79/2,209.49
  6. Step 6: Final answer
    x = 974.57

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1.5x scale

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.