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Finding the Fourth Proportional to 928.36, 1,393.22 and 747.93

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Solution

The fourth proportional to 928.36, 1,393.22 and 747.93 is: 1,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.36 : 1,393.22 = 747.93 : x
  2. Step 2: Convert to fraction form
    928.36/1,393.22 = 747.93/x
  3. Step 3: Cross multiply
    928.36x = 1,393.22 × 747.93
  4. Step 4: Simplify right side
    928.36x = 1,042,031.03
  5. Step 5: Solve for x
    x = 1,042,031.03/928.36
  6. Step 6: Final answer
    x = 1,122.44

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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.