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Finding the Fourth Proportional to 1,331.89, 1,838.07 and 742.42

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Solution

The fourth proportional to 1,331.89, 1,838.07 and 742.42 is: 1,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.89 : 1,838.07 = 742.42 : x
  2. Step 2: Convert to fraction form
    1,331.89/1,838.07 = 742.42/x
  3. Step 3: Cross multiply
    1,331.89x = 1,838.07 × 742.42
  4. Step 4: Simplify right side
    1,331.89x = 1,364,619.93
  5. Step 5: Solve for x
    x = 1,364,619.93/1,331.89
  6. Step 6: Final answer
    x = 1,024.57

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1.5x scale

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.