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Finding the Fourth Proportional to 734.98, 1,100.46 and 691.84

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Solution

The fourth proportional to 734.98, 1,100.46 and 691.84 is: 1,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.98 : 1,100.46 = 691.84 : x
  2. Step 2: Convert to fraction form
    734.98/1,100.46 = 691.84/x
  3. Step 3: Cross multiply
    734.98x = 1,100.46 × 691.84
  4. Step 4: Simplify right side
    734.98x = 761,342.25
  5. Step 5: Solve for x
    x = 761,342.25/734.98
  6. Step 6: Final answer
    x = 1,035.87

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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.