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Finding the Fourth Proportional to 1,718.26, 2,577.78 and 744.52

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Solution

The fourth proportional to 1,718.26, 2,577.78 and 744.52 is: 1,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.26 : 2,577.78 = 744.52 : x
  2. Step 2: Convert to fraction form
    1,718.26/2,577.78 = 744.52/x
  3. Step 3: Cross multiply
    1,718.26x = 2,577.78 × 744.52
  4. Step 4: Simplify right side
    1,718.26x = 1,919,208.77
  5. Step 5: Solve for x
    x = 1,919,208.77/1,718.26
  6. Step 6: Final answer
    x = 1,116.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.