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Finding the Fourth Proportional to 617.37, 857.51 and 600.09

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Solution

The fourth proportional to 617.37, 857.51 and 600.09 is: 833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.37 : 857.51 = 600.09 : x
  2. Step 2: Convert to fraction form
    617.37/857.51 = 600.09/x
  3. Step 3: Cross multiply
    617.37x = 857.51 × 600.09
  4. Step 4: Simplify right side
    617.37x = 514,583.18
  5. Step 5: Solve for x
    x = 514,583.18/617.37
  6. Step 6: Final answer
    x = 833.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.