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Finding the Fourth Proportional to 1,233.49, 1,701.44 and 938.11

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Solution

The fourth proportional to 1,233.49, 1,701.44 and 938.11 is: 1,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.49 : 1,701.44 = 938.11 : x
  2. Step 2: Convert to fraction form
    1,233.49/1,701.44 = 938.11/x
  3. Step 3: Cross multiply
    1,233.49x = 1,701.44 × 938.11
  4. Step 4: Simplify right side
    1,233.49x = 1,596,133.19
  5. Step 5: Solve for x
    x = 1,596,133.19/1,233.49
  6. Step 6: Final answer
    x = 1,294.00

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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.