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Finding the Fourth Proportional to 2,314.76, 3,472.11 and 559.75

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Solution

The fourth proportional to 2,314.76, 3,472.11 and 559.75 is: 839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.76 : 3,472.11 = 559.75 : x
  2. Step 2: Convert to fraction form
    2,314.76/3,472.11 = 559.75/x
  3. Step 3: Cross multiply
    2,314.76x = 3,472.11 × 559.75
  4. Step 4: Simplify right side
    2,314.76x = 1,943,513.57
  5. Step 5: Solve for x
    x = 1,943,513.57/2,314.76
  6. Step 6: Final answer
    x = 839.62

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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.