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Finding the Fourth Proportional to 559.05, 837.89 and 490.25

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Solution

The fourth proportional to 559.05, 837.89 and 490.25 is: 734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.05 : 837.89 = 490.25 : x
  2. Step 2: Convert to fraction form
    559.05/837.89 = 490.25/x
  3. Step 3: Cross multiply
    559.05x = 837.89 × 490.25
  4. Step 4: Simplify right side
    559.05x = 410,779.81
  5. Step 5: Solve for x
    x = 410,779.81/559.05
  6. Step 6: Final answer
    x = 734.78

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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.