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Finding the Fourth Proportional to 606.23, 834.66 and 528.57

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Solution

The fourth proportional to 606.23, 834.66 and 528.57 is: 727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.23 : 834.66 = 528.57 : x
  2. Step 2: Convert to fraction form
    606.23/834.66 = 528.57/x
  3. Step 3: Cross multiply
    606.23x = 834.66 × 528.57
  4. Step 4: Simplify right side
    606.23x = 441,176.24
  5. Step 5: Solve for x
    x = 441,176.24/606.23
  6. Step 6: Final answer
    x = 727.74

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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.