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Finding the Fourth Proportional to 1,736.52, 2,605.23 and 640.89

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Solution

The fourth proportional to 1,736.52, 2,605.23 and 640.89 is: 961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.52 : 2,605.23 = 640.89 : x
  2. Step 2: Convert to fraction form
    1,736.52/2,605.23 = 640.89/x
  3. Step 3: Cross multiply
    1,736.52x = 2,605.23 × 640.89
  4. Step 4: Simplify right side
    1,736.52x = 1,669,662.65
  5. Step 5: Solve for x
    x = 1,669,662.65/1,736.52
  6. Step 6: Final answer
    x = 961.50

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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.