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Finding the Fourth Proportional to 979, 1,350.86 and 559.36

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Solution

The fourth proportional to 979, 1,350.86 and 559.36 is: 771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    979 : 1,350.86 = 559.36 : x
  2. Step 2: Convert to fraction form
    979/1,350.86 = 559.36/x
  3. Step 3: Cross multiply
    979x = 1,350.86 × 559.36
  4. Step 4: Simplify right side
    979x = 755,617.05
  5. Step 5: Solve for x
    x = 755,617.05/979
  6. Step 6: Final answer
    x = 771.83

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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.