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Finding the Fourth Proportional to 759.92, 1,142.64 and 699.77

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Solution

The fourth proportional to 759.92, 1,142.64 and 699.77 is: 1,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.92 : 1,142.64 = 699.77 : x
  2. Step 2: Convert to fraction form
    759.92/1,142.64 = 699.77/x
  3. Step 3: Cross multiply
    759.92x = 1,142.64 × 699.77
  4. Step 4: Simplify right side
    759.92x = 799,588.05
  5. Step 5: Solve for x
    x = 799,588.05/759.92
  6. Step 6: Final answer
    x = 1,052.21

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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.