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Finding the Fourth Proportional to 1,331.81, 1,837.88 and 742.33

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Solution

The fourth proportional to 1,331.81, 1,837.88 and 742.33 is: 1,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.81 : 1,837.88 = 742.33 : x
  2. Step 2: Convert to fraction form
    1,331.81/1,837.88 = 742.33/x
  3. Step 3: Cross multiply
    1,331.81x = 1,837.88 × 742.33
  4. Step 4: Simplify right side
    1,331.81x = 1,364,313.46
  5. Step 5: Solve for x
    x = 1,364,313.46/1,331.81
  6. Step 6: Final answer
    x = 1,024.41

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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.