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Finding the Fourth Proportional to 779.33, 1,168.46 and 394.31

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Solution

The fourth proportional to 779.33, 1,168.46 and 394.31 is: 591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.33 : 1,168.46 = 394.31 : x
  2. Step 2: Convert to fraction form
    779.33/1,168.46 = 394.31/x
  3. Step 3: Cross multiply
    779.33x = 1,168.46 × 394.31
  4. Step 4: Simplify right side
    779.33x = 460,737.89
  5. Step 5: Solve for x
    x = 460,737.89/779.33
  6. Step 6: Final answer
    x = 591.20

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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.