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Finding the Fourth Proportional to 1,459.74, 2,189.96 and 419.78

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Solution

The fourth proportional to 1,459.74, 2,189.96 and 419.78 is: 629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.74 : 2,189.96 = 419.78 : x
  2. Step 2: Convert to fraction form
    1,459.74/2,189.96 = 419.78/x
  3. Step 3: Cross multiply
    1,459.74x = 2,189.96 × 419.78
  4. Step 4: Simplify right side
    1,459.74x = 919,288.36
  5. Step 5: Solve for x
    x = 919,288.36/1,459.74
  6. Step 6: Final answer
    x = 629.76

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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.