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Finding the Fourth Proportional to 926.87, 1,383.78 and 815.27

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Solution

The fourth proportional to 926.87, 1,383.78 and 815.27 is: 1,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.87 : 1,383.78 = 815.27 : x
  2. Step 2: Convert to fraction form
    926.87/1,383.78 = 815.27/x
  3. Step 3: Cross multiply
    926.87x = 1,383.78 × 815.27
  4. Step 4: Simplify right side
    926.87x = 1,128,150.46
  5. Step 5: Solve for x
    x = 1,128,150.46/926.87
  6. Step 6: Final answer
    x = 1,217.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.