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Finding the Fourth Proportional to 1,569.56, 2,353.26 and 839

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Solution

The fourth proportional to 1,569.56, 2,353.26 and 839 is: 1,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.56 : 2,353.26 = 839 : x
  2. Step 2: Convert to fraction form
    1,569.56/2,353.26 = 839/x
  3. Step 3: Cross multiply
    1,569.56x = 2,353.26 × 839
  4. Step 4: Simplify right side
    1,569.56x = 1,974,385.14
  5. Step 5: Solve for x
    x = 1,974,385.14/1,569.56
  6. Step 6: Final answer
    x = 1,257.92

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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.