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Finding the Fourth Proportional to 600.77, 829.13 and 338.82

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Solution

The fourth proportional to 600.77, 829.13 and 338.82 is: 467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.77 : 829.13 = 338.82 : x
  2. Step 2: Convert to fraction form
    600.77/829.13 = 338.82/x
  3. Step 3: Cross multiply
    600.77x = 829.13 × 338.82
  4. Step 4: Simplify right side
    600.77x = 280,924.13
  5. Step 5: Solve for x
    x = 280,924.13/600.77
  6. Step 6: Final answer
    x = 467.61

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Find fourth proportional to 300.38, 414.56 and 169.41
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.