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Finding the Fourth Proportional to 1,219.71, 1,828.99 and 602.71

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Solution

The fourth proportional to 1,219.71, 1,828.99 and 602.71 is: 903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.71 : 1,828.99 = 602.71 : x
  2. Step 2: Convert to fraction form
    1,219.71/1,828.99 = 602.71/x
  3. Step 3: Cross multiply
    1,219.71x = 1,828.99 × 602.71
  4. Step 4: Simplify right side
    1,219.71x = 1,102,350.56
  5. Step 5: Solve for x
    x = 1,102,350.56/1,219.71
  6. Step 6: Final answer
    x = 903.78

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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.