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Finding the Fourth Proportional to 766.78, 1,059.06 and 609.94

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Solution

The fourth proportional to 766.78, 1,059.06 and 609.94 is: 842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.78 : 1,059.06 = 609.94 : x
  2. Step 2: Convert to fraction form
    766.78/1,059.06 = 609.94/x
  3. Step 3: Cross multiply
    766.78x = 1,059.06 × 609.94
  4. Step 4: Simplify right side
    766.78x = 645,963.06
  5. Step 5: Solve for x
    x = 645,963.06/766.78
  6. Step 6: Final answer
    x = 842.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.