Home / 1,424.19-2,137.25-499.75

Finding the Fourth Proportional to 1,424.19, 2,137.25 and 499.75

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Solution

The fourth proportional to 1,424.19, 2,137.25 and 499.75 is: 749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.19 : 2,137.25 = 499.75 : x
  2. Step 2: Convert to fraction form
    1,424.19/2,137.25 = 499.75/x
  3. Step 3: Cross multiply
    1,424.19x = 2,137.25 × 499.75
  4. Step 4: Simplify right side
    1,424.19x = 1,068,088.19
  5. Step 5: Solve for x
    x = 1,068,088.19/1,424.19
  6. Step 6: Final answer
    x = 749.96

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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.