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Finding the Fourth Proportional to 1,331.79, 1,837.89 and 742.37

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Solution

The fourth proportional to 1,331.79, 1,837.89 and 742.37 is: 1,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.79 : 1,837.89 = 742.37 : x
  2. Step 2: Convert to fraction form
    1,331.79/1,837.89 = 742.37/x
  3. Step 3: Cross multiply
    1,331.79x = 1,837.89 × 742.37
  4. Step 4: Simplify right side
    1,331.79x = 1,364,388.29
  5. Step 5: Solve for x
    x = 1,364,388.29/1,331.79
  6. Step 6: Final answer
    x = 1,024.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.