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Finding the Fourth Proportional to 1,264.53, 1,744.95 and 704.97

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Solution

The fourth proportional to 1,264.53, 1,744.95 and 704.97 is: 972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.53 : 1,744.95 = 704.97 : x
  2. Step 2: Convert to fraction form
    1,264.53/1,744.95 = 704.97/x
  3. Step 3: Cross multiply
    1,264.53x = 1,744.95 × 704.97
  4. Step 4: Simplify right side
    1,264.53x = 1,230,137.40
  5. Step 5: Solve for x
    x = 1,230,137.40/1,264.53
  6. Step 6: Final answer
    x = 972.80

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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.