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Finding the Fourth Proportional to 926.52, 1,391.02 and 790.44

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Solution

The fourth proportional to 926.52, 1,391.02 and 790.44 is: 1,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.52 : 1,391.02 = 790.44 : x
  2. Step 2: Convert to fraction form
    926.52/1,391.02 = 790.44/x
  3. Step 3: Cross multiply
    926.52x = 1,391.02 × 790.44
  4. Step 4: Simplify right side
    926.52x = 1,099,517.85
  5. Step 5: Solve for x
    x = 1,099,517.85/926.52
  6. Step 6: Final answer
    x = 1,186.72

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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.