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Finding the Fourth Proportional to 909.78, 1,255.70 and 866.72

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Solution

The fourth proportional to 909.78, 1,255.70 and 866.72 is: 1,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.78 : 1,255.70 = 866.72 : x
  2. Step 2: Convert to fraction form
    909.78/1,255.70 = 866.72/x
  3. Step 3: Cross multiply
    909.78x = 1,255.70 × 866.72
  4. Step 4: Simplify right side
    909.78x = 1,088,340.30
  5. Step 5: Solve for x
    x = 1,088,340.30/909.78
  6. Step 6: Final answer
    x = 1,196.27

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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.