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Finding the Fourth Proportional to 759.73, 1,048.42 and 423.62

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Solution

The fourth proportional to 759.73, 1,048.42 and 423.62 is: 584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.73 : 1,048.42 = 423.62 : x
  2. Step 2: Convert to fraction form
    759.73/1,048.42 = 423.62/x
  3. Step 3: Cross multiply
    759.73x = 1,048.42 × 423.62
  4. Step 4: Simplify right side
    759.73x = 444,134.41
  5. Step 5: Solve for x
    x = 444,134.41/759.73
  6. Step 6: Final answer
    x = 584.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.