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Finding the Fourth Proportional to 1,299.17, 1,947 and 595.85

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Solution

The fourth proportional to 1,299.17, 1,947 and 595.85 is: 892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.17 : 1,947 = 595.85 : x
  2. Step 2: Convert to fraction form
    1,299.17/1,947 = 595.85/x
  3. Step 3: Cross multiply
    1,299.17x = 1,947 × 595.85
  4. Step 4: Simplify right side
    1,299.17x = 1,160,119.95
  5. Step 5: Solve for x
    x = 1,160,119.95/1,299.17
  6. Step 6: Final answer
    x = 892.97

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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.