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Finding the Fourth Proportional to 1,238.81, 1,858.37 and 580.34

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Solution

The fourth proportional to 1,238.81, 1,858.37 and 580.34 is: 870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.81 : 1,858.37 = 580.34 : x
  2. Step 2: Convert to fraction form
    1,238.81/1,858.37 = 580.34/x
  3. Step 3: Cross multiply
    1,238.81x = 1,858.37 × 580.34
  4. Step 4: Simplify right side
    1,238.81x = 1,078,488.19
  5. Step 5: Solve for x
    x = 1,078,488.19/1,238.81
  6. Step 6: Final answer
    x = 870.59

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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.