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Finding the Fourth Proportional to 840.53, 1,260.97 and 255.57

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Solution

The fourth proportional to 840.53, 1,260.97 and 255.57 is: 383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.53 : 1,260.97 = 255.57 : x
  2. Step 2: Convert to fraction form
    840.53/1,260.97 = 255.57/x
  3. Step 3: Cross multiply
    840.53x = 1,260.97 × 255.57
  4. Step 4: Simplify right side
    840.53x = 322,266.10
  5. Step 5: Solve for x
    x = 322,266.10/840.53
  6. Step 6: Final answer
    x = 383.41

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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.