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Finding the Fourth Proportional to 559.36, 840.17 and 538.85

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Solution

The fourth proportional to 559.36, 840.17 and 538.85 is: 809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.36 : 840.17 = 538.85 : x
  2. Step 2: Convert to fraction form
    559.36/840.17 = 538.85/x
  3. Step 3: Cross multiply
    559.36x = 840.17 × 538.85
  4. Step 4: Simplify right side
    559.36x = 452,729.05
  5. Step 5: Solve for x
    x = 452,729.05/559.36
  6. Step 6: Final answer
    x = 809.38

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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.