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Finding the Fourth Proportional to 744.89, 1,110.76 and 692.93

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Solution

The fourth proportional to 744.89, 1,110.76 and 692.93 is: 1,033.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.89 : 1,110.76 = 692.93 : x
  2. Step 2: Convert to fraction form
    744.89/1,110.76 = 692.93/x
  3. Step 3: Cross multiply
    744.89x = 1,110.76 × 692.93
  4. Step 4: Simplify right side
    744.89x = 769,679.97
  5. Step 5: Solve for x
    x = 769,679.97/744.89
  6. Step 6: Final answer
    x = 1,033.29

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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.