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Finding the Fourth Proportional to 559.69, 838.74 and 412.29

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Solution

The fourth proportional to 559.69, 838.74 and 412.29 is: 617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.69 : 838.74 = 412.29 : x
  2. Step 2: Convert to fraction form
    559.69/838.74 = 412.29/x
  3. Step 3: Cross multiply
    559.69x = 838.74 × 412.29
  4. Step 4: Simplify right side
    559.69x = 345,804.11
  5. Step 5: Solve for x
    x = 345,804.11/559.69
  6. Step 6: Final answer
    x = 617.85

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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.