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Finding the Fourth Proportional to 600.27, 828.66 and 434.86

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Solution

The fourth proportional to 600.27, 828.66 and 434.86 is: 600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.27 : 828.66 = 434.86 : x
  2. Step 2: Convert to fraction form
    600.27/828.66 = 434.86/x
  3. Step 3: Cross multiply
    600.27x = 828.66 × 434.86
  4. Step 4: Simplify right side
    600.27x = 360,351.09
  5. Step 5: Solve for x
    x = 360,351.09/600.27
  6. Step 6: Final answer
    x = 600.32

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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.