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Finding the Fourth Proportional to 876.25, 1,314.41 and 259.96

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Solution

The fourth proportional to 876.25, 1,314.41 and 259.96 is: 389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.25 : 1,314.41 = 259.96 : x
  2. Step 2: Convert to fraction form
    876.25/1,314.41 = 259.96/x
  3. Step 3: Cross multiply
    876.25x = 1,314.41 × 259.96
  4. Step 4: Simplify right side
    876.25x = 341,694.02
  5. Step 5: Solve for x
    x = 341,694.02/876.25
  6. Step 6: Final answer
    x = 389.95

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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.