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Finding the Fourth Proportional to 795.72, 1,098.48 and 516.36

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Solution

The fourth proportional to 795.72, 1,098.48 and 516.36 is: 712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.72 : 1,098.48 = 516.36 : x
  2. Step 2: Convert to fraction form
    795.72/1,098.48 = 516.36/x
  3. Step 3: Cross multiply
    795.72x = 1,098.48 × 516.36
  4. Step 4: Simplify right side
    795.72x = 567,211.13
  5. Step 5: Solve for x
    x = 567,211.13/795.72
  6. Step 6: Final answer
    x = 712.83

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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.