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Finding the Fourth Proportional to 1,289.12, 1,779 and 758.12

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Solution

The fourth proportional to 1,289.12, 1,779 and 758.12 is: 1,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.12 : 1,779 = 758.12 : x
  2. Step 2: Convert to fraction form
    1,289.12/1,779 = 758.12/x
  3. Step 3: Cross multiply
    1,289.12x = 1,779 × 758.12
  4. Step 4: Simplify right side
    1,289.12x = 1,348,695.48
  5. Step 5: Solve for x
    x = 1,348,695.48/1,289.12
  6. Step 6: Final answer
    x = 1,046.21

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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.