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Finding the Fourth Proportional to 1,424, 2,137.22 and 558.92

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Solution

The fourth proportional to 1,424, 2,137.22 and 558.92 is: 838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424 : 2,137.22 = 558.92 : x
  2. Step 2: Convert to fraction form
    1,424/2,137.22 = 558.92/x
  3. Step 3: Cross multiply
    1,424x = 2,137.22 × 558.92
  4. Step 4: Simplify right side
    1,424x = 1,194,532.21
  5. Step 5: Solve for x
    x = 1,194,532.21/1,424
  6. Step 6: Final answer
    x = 838.86

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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.