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Finding the Fourth Proportional to 932.75, 1,397.48 and 779.66

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Solution

The fourth proportional to 932.75, 1,397.48 and 779.66 is: 1,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.75 : 1,397.48 = 779.66 : x
  2. Step 2: Convert to fraction form
    932.75/1,397.48 = 779.66/x
  3. Step 3: Cross multiply
    932.75x = 1,397.48 × 779.66
  4. Step 4: Simplify right side
    932.75x = 1,089,558.85
  5. Step 5: Solve for x
    x = 1,089,558.85/932.75
  6. Step 6: Final answer
    x = 1,168.11

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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.