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Finding the Fourth Proportional to 840.76, 1,260.87 and 255.54

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Solution

The fourth proportional to 840.76, 1,260.87 and 255.54 is: 383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.76 : 1,260.87 = 255.54 : x
  2. Step 2: Convert to fraction form
    840.76/1,260.87 = 255.54/x
  3. Step 3: Cross multiply
    840.76x = 1,260.87 × 255.54
  4. Step 4: Simplify right side
    840.76x = 322,202.72
  5. Step 5: Solve for x
    x = 322,202.72/840.76
  6. Step 6: Final answer
    x = 383.23

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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.