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Finding the Fourth Proportional to 1,098.05, 1,647.17 and 577.71

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Solution

The fourth proportional to 1,098.05, 1,647.17 and 577.71 is: 866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.05 : 1,647.17 = 577.71 : x
  2. Step 2: Convert to fraction form
    1,098.05/1,647.17 = 577.71/x
  3. Step 3: Cross multiply
    1,098.05x = 1,647.17 × 577.71
  4. Step 4: Simplify right side
    1,098.05x = 951,583.69
  5. Step 5: Solve for x
    x = 951,583.69/1,098.05
  6. Step 6: Final answer
    x = 866.62

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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.