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Finding the Fourth Proportional to 759.61, 1,047.90 and 444.68

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Solution

The fourth proportional to 759.61, 1,047.90 and 444.68 is: 613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.61 : 1,047.90 = 444.68 : x
  2. Step 2: Convert to fraction form
    759.61/1,047.90 = 444.68/x
  3. Step 3: Cross multiply
    759.61x = 1,047.90 × 444.68
  4. Step 4: Simplify right side
    759.61x = 465,974.03
  5. Step 5: Solve for x
    x = 465,974.03/759.61
  6. Step 6: Final answer
    x = 613.44

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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.