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Finding the Fourth Proportional to 1,699.55, 2,545.17 and 1,178.11

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Solution

The fourth proportional to 1,699.55, 2,545.17 and 1,178.11 is: 1,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.55 : 2,545.17 = 1,178.11 : x
  2. Step 2: Convert to fraction form
    1,699.55/2,545.17 = 1,178.11/x
  3. Step 3: Cross multiply
    1,699.55x = 2,545.17 × 1,178.11
  4. Step 4: Simplify right side
    1,699.55x = 2,998,495.62
  5. Step 5: Solve for x
    x = 2,998,495.62/1,699.55
  6. Step 6: Final answer
    x = 1,764.29

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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.