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Finding the Fourth Proportional to 901.54, 1,244.25 and 753.94

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Solution

The fourth proportional to 901.54, 1,244.25 and 753.94 is: 1,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.54 : 1,244.25 = 753.94 : x
  2. Step 2: Convert to fraction form
    901.54/1,244.25 = 753.94/x
  3. Step 3: Cross multiply
    901.54x = 1,244.25 × 753.94
  4. Step 4: Simplify right side
    901.54x = 938,089.85
  5. Step 5: Solve for x
    x = 938,089.85/901.54
  6. Step 6: Final answer
    x = 1,040.54

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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.