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Finding the Fourth Proportional to 600.27, 829.11 and 434.22

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Solution

The fourth proportional to 600.27, 829.11 and 434.22 is: 599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.27 : 829.11 = 434.22 : x
  2. Step 2: Convert to fraction form
    600.27/829.11 = 434.22/x
  3. Step 3: Cross multiply
    600.27x = 829.11 × 434.22
  4. Step 4: Simplify right side
    600.27x = 360,016.14
  5. Step 5: Solve for x
    x = 360,016.14/600.27
  6. Step 6: Final answer
    x = 599.76

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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.