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Finding the Fourth Proportional to 1,238.79, 1,858.24 and 910.14

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Solution

The fourth proportional to 1,238.79, 1,858.24 and 910.14 is: 1,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.79 : 1,858.24 = 910.14 : x
  2. Step 2: Convert to fraction form
    1,238.79/1,858.24 = 910.14/x
  3. Step 3: Cross multiply
    1,238.79x = 1,858.24 × 910.14
  4. Step 4: Simplify right side
    1,238.79x = 1,691,252.72
  5. Step 5: Solve for x
    x = 1,691,252.72/1,238.79
  6. Step 6: Final answer
    x = 1,365.24

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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.