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Finding the Fourth Proportional to 747.09, 1,120.83 and 439.21

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Solution

The fourth proportional to 747.09, 1,120.83 and 439.21 is: 658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.09 : 1,120.83 = 439.21 : x
  2. Step 2: Convert to fraction form
    747.09/1,120.83 = 439.21/x
  3. Step 3: Cross multiply
    747.09x = 1,120.83 × 439.21
  4. Step 4: Simplify right side
    747.09x = 492,271.94
  5. Step 5: Solve for x
    x = 492,271.94/747.09
  6. Step 6: Final answer
    x = 658.92

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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.