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Finding the Fourth Proportional to 1,419.68, 2,129.78 and 495.27

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Solution

The fourth proportional to 1,419.68, 2,129.78 and 495.27 is: 743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.68 : 2,129.78 = 495.27 : x
  2. Step 2: Convert to fraction form
    1,419.68/2,129.78 = 495.27/x
  3. Step 3: Cross multiply
    1,419.68x = 2,129.78 × 495.27
  4. Step 4: Simplify right side
    1,419.68x = 1,054,817.38
  5. Step 5: Solve for x
    x = 1,054,817.38/1,419.68
  6. Step 6: Final answer
    x = 743.00

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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.