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Finding the Fourth Proportional to 606.68, 835.20 and 512.96

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Solution

The fourth proportional to 606.68, 835.20 and 512.96 is: 706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.68 : 835.20 = 512.96 : x
  2. Step 2: Convert to fraction form
    606.68/835.20 = 512.96/x
  3. Step 3: Cross multiply
    606.68x = 835.20 × 512.96
  4. Step 4: Simplify right side
    606.68x = 428,424.19
  5. Step 5: Solve for x
    x = 428,424.19/606.68
  6. Step 6: Final answer
    x = 706.18

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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.