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Finding the Fourth Proportional to 1,736.67, 2,605.34 and 641.12

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Solution

The fourth proportional to 1,736.67, 2,605.34 and 641.12 is: 961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.67 : 2,605.34 = 641.12 : x
  2. Step 2: Convert to fraction form
    1,736.67/2,605.34 = 641.12/x
  3. Step 3: Cross multiply
    1,736.67x = 2,605.34 × 641.12
  4. Step 4: Simplify right side
    1,736.67x = 1,670,332.38
  5. Step 5: Solve for x
    x = 1,670,332.38/1,736.67
  6. Step 6: Final answer
    x = 961.80

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1.5x scale

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.