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Finding the Fourth Proportional to 744.98, 1,112.01 and 690

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Solution

The fourth proportional to 744.98, 1,112.01 and 690 is: 1,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.98 : 1,112.01 = 690 : x
  2. Step 2: Convert to fraction form
    744.98/1,112.01 = 690/x
  3. Step 3: Cross multiply
    744.98x = 1,112.01 × 690
  4. Step 4: Simplify right side
    744.98x = 767,286.90
  5. Step 5: Solve for x
    x = 767,286.90/744.98
  6. Step 6: Final answer
    x = 1,029.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.