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Finding the Fourth Proportional to 876.43, 1,314.78 and 260.23

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Solution

The fourth proportional to 876.43, 1,314.78 and 260.23 is: 390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.43 : 1,314.78 = 260.23 : x
  2. Step 2: Convert to fraction form
    876.43/1,314.78 = 260.23/x
  3. Step 3: Cross multiply
    876.43x = 1,314.78 × 260.23
  4. Step 4: Simplify right side
    876.43x = 342,145.20
  5. Step 5: Solve for x
    x = 342,145.20/876.43
  6. Step 6: Final answer
    x = 390.39

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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.