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Finding the Fourth Proportional to 841.78, 1,261.86 and 264.52

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Solution

The fourth proportional to 841.78, 1,261.86 and 264.52 is: 396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.78 : 1,261.86 = 264.52 : x
  2. Step 2: Convert to fraction form
    841.78/1,261.86 = 264.52/x
  3. Step 3: Cross multiply
    841.78x = 1,261.86 × 264.52
  4. Step 4: Simplify right side
    841.78x = 333,787.21
  5. Step 5: Solve for x
    x = 333,787.21/841.78
  6. Step 6: Final answer
    x = 396.53

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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.