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Finding the Fourth Proportional to 2,292.99, 3,439.71 and 649.55

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Solution

The fourth proportional to 2,292.99, 3,439.71 and 649.55 is: 974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.99 : 3,439.71 = 649.55 : x
  2. Step 2: Convert to fraction form
    2,292.99/3,439.71 = 649.55/x
  3. Step 3: Cross multiply
    2,292.99x = 3,439.71 × 649.55
  4. Step 4: Simplify right side
    2,292.99x = 2,234,263.63
  5. Step 5: Solve for x
    x = 2,234,263.63/2,292.99
  6. Step 6: Final answer
    x = 974.39

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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.