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Finding the Fourth Proportional to 928.88, 1,393.31 and 279.59

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Solution

The fourth proportional to 928.88, 1,393.31 and 279.59 is: 419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.88 : 1,393.31 = 279.59 : x
  2. Step 2: Convert to fraction form
    928.88/1,393.31 = 279.59/x
  3. Step 3: Cross multiply
    928.88x = 1,393.31 × 279.59
  4. Step 4: Simplify right side
    928.88x = 389,559.73
  5. Step 5: Solve for x
    x = 389,559.73/928.88
  6. Step 6: Final answer
    x = 419.39

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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.