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Finding the Fourth Proportional to 1,463.10, 2,194.68 and 640.94

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Solution

The fourth proportional to 1,463.10, 2,194.68 and 640.94 is: 961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.10 : 2,194.68 = 640.94 : x
  2. Step 2: Convert to fraction form
    1,463.10/2,194.68 = 640.94/x
  3. Step 3: Cross multiply
    1,463.10x = 2,194.68 × 640.94
  4. Step 4: Simplify right side
    1,463.10x = 1,406,658.20
  5. Step 5: Solve for x
    x = 1,406,658.20/1,463.10
  6. Step 6: Final answer
    x = 961.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.