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Finding the Fourth Proportional to 1,419.70, 2,129.81 and 482.74

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Solution

The fourth proportional to 1,419.70, 2,129.81 and 482.74 is: 724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.70 : 2,129.81 = 482.74 : x
  2. Step 2: Convert to fraction form
    1,419.70/2,129.81 = 482.74/x
  3. Step 3: Cross multiply
    1,419.70x = 2,129.81 × 482.74
  4. Step 4: Simplify right side
    1,419.70x = 1,028,136.49
  5. Step 5: Solve for x
    x = 1,028,136.49/1,419.70
  6. Step 6: Final answer
    x = 724.19

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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.