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Finding the Fourth Proportional to 559.19, 771.78 and 534.59

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Solution

The fourth proportional to 559.19, 771.78 and 534.59 is: 737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.19 : 771.78 = 534.59 : x
  2. Step 2: Convert to fraction form
    559.19/771.78 = 534.59/x
  3. Step 3: Cross multiply
    559.19x = 771.78 × 534.59
  4. Step 4: Simplify right side
    559.19x = 412,585.87
  5. Step 5: Solve for x
    x = 412,585.87/559.19
  6. Step 6: Final answer
    x = 737.83

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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.