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Finding the Fourth Proportional to 1,424.06, 2,137.06 and 499.62

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Solution

The fourth proportional to 1,424.06, 2,137.06 and 499.62 is: 749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.06 : 2,137.06 = 499.62 : x
  2. Step 2: Convert to fraction form
    1,424.06/2,137.06 = 499.62/x
  3. Step 3: Cross multiply
    1,424.06x = 2,137.06 × 499.62
  4. Step 4: Simplify right side
    1,424.06x = 1,067,717.92
  5. Step 5: Solve for x
    x = 1,067,717.92/1,424.06
  6. Step 6: Final answer
    x = 749.77

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1.5x scale

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.