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Finding the Fourth Proportional to 600.76, 829.07 and 338.77

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Solution

The fourth proportional to 600.76, 829.07 and 338.77 is: 467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.76 : 829.07 = 338.77 : x
  2. Step 2: Convert to fraction form
    600.76/829.07 = 338.77/x
  3. Step 3: Cross multiply
    600.76x = 829.07 × 338.77
  4. Step 4: Simplify right side
    600.76x = 280,864.04
  5. Step 5: Solve for x
    x = 280,864.04/600.76
  6. Step 6: Final answer
    x = 467.51

Related Problems

Find fourth proportional to 300.38, 414.54 and 169.39
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Double scale
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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.