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Finding the Fourth Proportional to 926.88, 1,383.68 and 862.08

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Solution

The fourth proportional to 926.88, 1,383.68 and 862.08 is: 1,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.88 : 1,383.68 = 862.08 : x
  2. Step 2: Convert to fraction form
    926.88/1,383.68 = 862.08/x
  3. Step 3: Cross multiply
    926.88x = 1,383.68 × 862.08
  4. Step 4: Simplify right side
    926.88x = 1,192,842.85
  5. Step 5: Solve for x
    x = 1,192,842.85/926.88
  6. Step 6: Final answer
    x = 1,286.94

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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.