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Finding the Fourth Proportional to 1,238.85, 1,858.79 and 580.25

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Solution

The fourth proportional to 1,238.85, 1,858.79 and 580.25 is: 870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.85 : 1,858.79 = 580.25 : x
  2. Step 2: Convert to fraction form
    1,238.85/1,858.79 = 580.25/x
  3. Step 3: Cross multiply
    1,238.85x = 1,858.79 × 580.25
  4. Step 4: Simplify right side
    1,238.85x = 1,078,562.90
  5. Step 5: Solve for x
    x = 1,078,562.90/1,238.85
  6. Step 6: Final answer
    x = 870.62

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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.