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Finding the Fourth Proportional to 779.27, 1,169.45 and 394.79

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Solution

The fourth proportional to 779.27, 1,169.45 and 394.79 is: 592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.27 : 1,169.45 = 394.79 : x
  2. Step 2: Convert to fraction form
    779.27/1,169.45 = 394.79/x
  3. Step 3: Cross multiply
    779.27x = 1,169.45 × 394.79
  4. Step 4: Simplify right side
    779.27x = 461,685.19
  5. Step 5: Solve for x
    x = 461,685.19/779.27
  6. Step 6: Final answer
    x = 592.46

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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.