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Finding the Fourth Proportional to 926.81, 1,272.18 and 819.54

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Solution

The fourth proportional to 926.81, 1,272.18 and 819.54 is: 1,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.81 : 1,272.18 = 819.54 : x
  2. Step 2: Convert to fraction form
    926.81/1,272.18 = 819.54/x
  3. Step 3: Cross multiply
    926.81x = 1,272.18 × 819.54
  4. Step 4: Simplify right side
    926.81x = 1,042,603.53
  5. Step 5: Solve for x
    x = 1,042,603.53/926.81
  6. Step 6: Final answer
    x = 1,124.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.