Home / 1,029.20-1,420.61-767.57

Finding the Fourth Proportional to 1,029.20, 1,420.61 and 767.57

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Solution

The fourth proportional to 1,029.20, 1,420.61 and 767.57 is: 1,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.20 : 1,420.61 = 767.57 : x
  2. Step 2: Convert to fraction form
    1,029.20/1,420.61 = 767.57/x
  3. Step 3: Cross multiply
    1,029.20x = 1,420.61 × 767.57
  4. Step 4: Simplify right side
    1,029.20x = 1,090,406.68
  5. Step 5: Solve for x
    x = 1,090,406.68/1,029.20
  6. Step 6: Final answer
    x = 1,059.48

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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.