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Finding the Fourth Proportional to 759.84, 1,140.11 and 747.55

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Solution

The fourth proportional to 759.84, 1,140.11 and 747.55 is: 1,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.84 : 1,140.11 = 747.55 : x
  2. Step 2: Convert to fraction form
    759.84/1,140.11 = 747.55/x
  3. Step 3: Cross multiply
    759.84x = 1,140.11 × 747.55
  4. Step 4: Simplify right side
    759.84x = 852,289.23
  5. Step 5: Solve for x
    x = 852,289.23/759.84
  6. Step 6: Final answer
    x = 1,121.67

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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.