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Finding the Fourth Proportional to 2,292.70, 3,439.01 and 561.34

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Solution

The fourth proportional to 2,292.70, 3,439.01 and 561.34 is: 842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.70 : 3,439.01 = 561.34 : x
  2. Step 2: Convert to fraction form
    2,292.70/3,439.01 = 561.34/x
  3. Step 3: Cross multiply
    2,292.70x = 3,439.01 × 561.34
  4. Step 4: Simplify right side
    2,292.70x = 1,930,453.87
  5. Step 5: Solve for x
    x = 1,930,453.87/2,292.70
  6. Step 6: Final answer
    x = 842.00

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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.