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Finding the Fourth Proportional to 606.78, 837.46 and 385.82

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Solution

The fourth proportional to 606.78, 837.46 and 385.82 is: 532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.78 : 837.46 = 385.82 : x
  2. Step 2: Convert to fraction form
    606.78/837.46 = 385.82/x
  3. Step 3: Cross multiply
    606.78x = 837.46 × 385.82
  4. Step 4: Simplify right side
    606.78x = 323,108.82
  5. Step 5: Solve for x
    x = 323,108.82/606.78
  6. Step 6: Final answer
    x = 532.50

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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.