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Finding the Fourth Proportional to 885.85, 1,328.78 and 269.57

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Solution

The fourth proportional to 885.85, 1,328.78 and 269.57 is: 404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.85 : 1,328.78 = 269.57 : x
  2. Step 2: Convert to fraction form
    885.85/1,328.78 = 269.57/x
  3. Step 3: Cross multiply
    885.85x = 1,328.78 × 269.57
  4. Step 4: Simplify right side
    885.85x = 358,203.22
  5. Step 5: Solve for x
    x = 358,203.22/885.85
  6. Step 6: Final answer
    x = 404.36

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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.