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Finding the Fourth Proportional to 759.05, 1,138.33 and 585.91

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Solution

The fourth proportional to 759.05, 1,138.33 and 585.91 is: 878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.05 : 1,138.33 = 585.91 : x
  2. Step 2: Convert to fraction form
    759.05/1,138.33 = 585.91/x
  3. Step 3: Cross multiply
    759.05x = 1,138.33 × 585.91
  4. Step 4: Simplify right side
    759.05x = 666,961.09
  5. Step 5: Solve for x
    x = 666,961.09/759.05
  6. Step 6: Final answer
    x = 878.68

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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.