Home / 1,424.31-2,135.19-766.54

Finding the Fourth Proportional to 1,424.31, 2,135.19 and 766.54

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Solution

The fourth proportional to 1,424.31, 2,135.19 and 766.54 is: 1,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.31 : 2,135.19 = 766.54 : x
  2. Step 2: Convert to fraction form
    1,424.31/2,135.19 = 766.54/x
  3. Step 3: Cross multiply
    1,424.31x = 2,135.19 × 766.54
  4. Step 4: Simplify right side
    1,424.31x = 1,636,708.08
  5. Step 5: Solve for x
    x = 1,636,708.08/1,424.31
  6. Step 6: Final answer
    x = 1,149.12

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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.