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Finding the Fourth Proportional to 789.73, 1,184.59 and 327

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Solution

The fourth proportional to 789.73, 1,184.59 and 327 is: 490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.73 : 1,184.59 = 327 : x
  2. Step 2: Convert to fraction form
    789.73/1,184.59 = 327/x
  3. Step 3: Cross multiply
    789.73x = 1,184.59 × 327
  4. Step 4: Simplify right side
    789.73x = 387,360.93
  5. Step 5: Solve for x
    x = 387,360.93/789.73
  6. Step 6: Final answer
    x = 490.50

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Double scale
Find fourth proportional to 790.73, 1,186.09 and 328
Similar ratio
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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.