Home / 1,147.07-1,584.29-911.77

Finding the Fourth Proportional to 1,147.07, 1,584.29 and 911.77

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Solution

The fourth proportional to 1,147.07, 1,584.29 and 911.77 is: 1,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.07 : 1,584.29 = 911.77 : x
  2. Step 2: Convert to fraction form
    1,147.07/1,584.29 = 911.77/x
  3. Step 3: Cross multiply
    1,147.07x = 1,584.29 × 911.77
  4. Step 4: Simplify right side
    1,147.07x = 1,444,499.57
  5. Step 5: Solve for x
    x = 1,444,499.57/1,147.07
  6. Step 6: Final answer
    x = 1,259.29

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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.