Home / 1,192.30-1,787.68-574.78

Finding the Fourth Proportional to 1,192.30, 1,787.68 and 574.78

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Solution

The fourth proportional to 1,192.30, 1,787.68 and 574.78 is: 861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.30 : 1,787.68 = 574.78 : x
  2. Step 2: Convert to fraction form
    1,192.30/1,787.68 = 574.78/x
  3. Step 3: Cross multiply
    1,192.30x = 1,787.68 × 574.78
  4. Step 4: Simplify right side
    1,192.30x = 1,027,522.71
  5. Step 5: Solve for x
    x = 1,027,522.71/1,192.30
  6. Step 6: Final answer
    x = 861.80

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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.