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Finding the Fourth Proportional to 2,292.85, 3,439.14 and 649.63

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Solution

The fourth proportional to 2,292.85, 3,439.14 and 649.63 is: 974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.85 : 3,439.14 = 649.63 : x
  2. Step 2: Convert to fraction form
    2,292.85/3,439.14 = 649.63/x
  3. Step 3: Cross multiply
    2,292.85x = 3,439.14 × 649.63
  4. Step 4: Simplify right side
    2,292.85x = 2,234,168.52
  5. Step 5: Solve for x
    x = 2,234,168.52/2,292.85
  6. Step 6: Final answer
    x = 974.41

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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.