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Finding the Fourth Proportional to 1,618.78, 2,428.17 and 579.04

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Solution

The fourth proportional to 1,618.78, 2,428.17 and 579.04 is: 868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.78 : 2,428.17 = 579.04 : x
  2. Step 2: Convert to fraction form
    1,618.78/2,428.17 = 579.04/x
  3. Step 3: Cross multiply
    1,618.78x = 2,428.17 × 579.04
  4. Step 4: Simplify right side
    1,618.78x = 1,406,007.56
  5. Step 5: Solve for x
    x = 1,406,007.56/1,618.78
  6. Step 6: Final answer
    x = 868.56

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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.