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Finding the Fourth Proportional to 798.23, 1,102.55 and 576.83

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Solution

The fourth proportional to 798.23, 1,102.55 and 576.83 is: 796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.23 : 1,102.55 = 576.83 : x
  2. Step 2: Convert to fraction form
    798.23/1,102.55 = 576.83/x
  3. Step 3: Cross multiply
    798.23x = 1,102.55 × 576.83
  4. Step 4: Simplify right side
    798.23x = 635,983.79
  5. Step 5: Solve for x
    x = 635,983.79/798.23
  6. Step 6: Final answer
    x = 796.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.