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Finding the Fourth Proportional to 759.03, 1,046.88 and 572.55

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Solution

The fourth proportional to 759.03, 1,046.88 and 572.55 is: 789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.03 : 1,046.88 = 572.55 : x
  2. Step 2: Convert to fraction form
    759.03/1,046.88 = 572.55/x
  3. Step 3: Cross multiply
    759.03x = 1,046.88 × 572.55
  4. Step 4: Simplify right side
    759.03x = 599,391.14
  5. Step 5: Solve for x
    x = 599,391.14/759.03
  6. Step 6: Final answer
    x = 789.68

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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.