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Finding the Fourth Proportional to 606.52, 838.04 and 578.12

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Solution

The fourth proportional to 606.52, 838.04 and 578.12 is: 798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.52 : 838.04 = 578.12 : x
  2. Step 2: Convert to fraction form
    606.52/838.04 = 578.12/x
  3. Step 3: Cross multiply
    606.52x = 838.04 × 578.12
  4. Step 4: Simplify right side
    606.52x = 484,487.68
  5. Step 5: Solve for x
    x = 484,487.68/606.52
  6. Step 6: Final answer
    x = 798.80

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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.