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Finding the Fourth Proportional to 1,192.65, 1,788.98 and 326.94

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Solution

The fourth proportional to 1,192.65, 1,788.98 and 326.94 is: 490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.65 : 1,788.98 = 326.94 : x
  2. Step 2: Convert to fraction form
    1,192.65/1,788.98 = 326.94/x
  3. Step 3: Cross multiply
    1,192.65x = 1,788.98 × 326.94
  4. Step 4: Simplify right side
    1,192.65x = 584,887.49
  5. Step 5: Solve for x
    x = 584,887.49/1,192.65
  6. Step 6: Final answer
    x = 490.41

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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.