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Finding the Fourth Proportional to 795.78, 1,097.80 and 516.06

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Solution

The fourth proportional to 795.78, 1,097.80 and 516.06 is: 711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.78 : 1,097.80 = 516.06 : x
  2. Step 2: Convert to fraction form
    795.78/1,097.80 = 516.06/x
  3. Step 3: Cross multiply
    795.78x = 1,097.80 × 516.06
  4. Step 4: Simplify right side
    795.78x = 566,522.60
  5. Step 5: Solve for x
    x = 566,522.60/795.78
  6. Step 6: Final answer
    x = 711.91

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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.