Home / 1,429.20-2,142.26-649.62

Finding the Fourth Proportional to 1,429.20, 2,142.26 and 649.62

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Solution

The fourth proportional to 1,429.20, 2,142.26 and 649.62 is: 973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.20 : 2,142.26 = 649.62 : x
  2. Step 2: Convert to fraction form
    1,429.20/2,142.26 = 649.62/x
  3. Step 3: Cross multiply
    1,429.20x = 2,142.26 × 649.62
  4. Step 4: Simplify right side
    1,429.20x = 1,391,654.94
  5. Step 5: Solve for x
    x = 1,391,654.94/1,429.20
  6. Step 6: Final answer
    x = 973.73

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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.