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Finding the Fourth Proportional to 779.96, 1,168.74 and 395.48

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Solution

The fourth proportional to 779.96, 1,168.74 and 395.48 is: 592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.96 : 1,168.74 = 395.48 : x
  2. Step 2: Convert to fraction form
    779.96/1,168.74 = 395.48/x
  3. Step 3: Cross multiply
    779.96x = 1,168.74 × 395.48
  4. Step 4: Simplify right side
    779.96x = 462,213.30
  5. Step 5: Solve for x
    x = 462,213.30/779.96
  6. Step 6: Final answer
    x = 592.61

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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.