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Finding the Fourth Proportional to 1,424.42, 2,136.96 and 693.83

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Solution

The fourth proportional to 1,424.42, 2,136.96 and 693.83 is: 1,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.42 : 2,136.96 = 693.83 : x
  2. Step 2: Convert to fraction form
    1,424.42/2,136.96 = 693.83/x
  3. Step 3: Cross multiply
    1,424.42x = 2,136.96 × 693.83
  4. Step 4: Simplify right side
    1,424.42x = 1,482,676.27
  5. Step 5: Solve for x
    x = 1,482,676.27/1,424.42
  6. Step 6: Final answer
    x = 1,040.90

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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.