Home / 1,424.25-2,135.61-766.89

Finding the Fourth Proportional to 1,424.25, 2,135.61 and 766.89

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Solution

The fourth proportional to 1,424.25, 2,135.61 and 766.89 is: 1,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.25 : 2,135.61 = 766.89 : x
  2. Step 2: Convert to fraction form
    1,424.25/2,135.61 = 766.89/x
  3. Step 3: Cross multiply
    1,424.25x = 2,135.61 × 766.89
  4. Step 4: Simplify right side
    1,424.25x = 1,637,777.95
  5. Step 5: Solve for x
    x = 1,637,777.95/1,424.25
  6. Step 6: Final answer
    x = 1,149.92

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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.