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Finding the Fourth Proportional to 936.06, 1,404.10 and 815.78

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Solution

The fourth proportional to 936.06, 1,404.10 and 815.78 is: 1,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.06 : 1,404.10 = 815.78 : x
  2. Step 2: Convert to fraction form
    936.06/1,404.10 = 815.78/x
  3. Step 3: Cross multiply
    936.06x = 1,404.10 × 815.78
  4. Step 4: Simplify right side
    936.06x = 1,145,436.70
  5. Step 5: Solve for x
    x = 1,145,436.70/936.06
  6. Step 6: Final answer
    x = 1,223.68

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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.