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Finding the Fourth Proportional to 879.84, 1,319.75 and 516.93

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Solution

The fourth proportional to 879.84, 1,319.75 and 516.93 is: 775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.84 : 1,319.75 = 516.93 : x
  2. Step 2: Convert to fraction form
    879.84/1,319.75 = 516.93/x
  3. Step 3: Cross multiply
    879.84x = 1,319.75 × 516.93
  4. Step 4: Simplify right side
    879.84x = 682,215.78
  5. Step 5: Solve for x
    x = 682,215.78/879.84
  6. Step 6: Final answer
    x = 775.39

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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.