Home / 1,424.74-2,135.85-766.98

Finding the Fourth Proportional to 1,424.74, 2,135.85 and 766.98

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Solution

The fourth proportional to 1,424.74, 2,135.85 and 766.98 is: 1,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.74 : 2,135.85 = 766.98 : x
  2. Step 2: Convert to fraction form
    1,424.74/2,135.85 = 766.98/x
  3. Step 3: Cross multiply
    1,424.74x = 2,135.85 × 766.98
  4. Step 4: Simplify right side
    1,424.74x = 1,638,154.23
  5. Step 5: Solve for x
    x = 1,638,154.23/1,424.74
  6. Step 6: Final answer
    x = 1,149.79

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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.