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Finding the Fourth Proportional to 1,238.78, 1,858.32 and 373.09

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Solution

The fourth proportional to 1,238.78, 1,858.32 and 373.09 is: 559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.78 : 1,858.32 = 373.09 : x
  2. Step 2: Convert to fraction form
    1,238.78/1,858.32 = 373.09/x
  3. Step 3: Cross multiply
    1,238.78x = 1,858.32 × 373.09
  4. Step 4: Simplify right side
    1,238.78x = 693,320.61
  5. Step 5: Solve for x
    x = 693,320.61/1,238.78
  6. Step 6: Final answer
    x = 559.68

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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.