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Finding the Fourth Proportional to 617.02, 850.43 and 564.71

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Solution

The fourth proportional to 617.02, 850.43 and 564.71 is: 778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.02 : 850.43 = 564.71 : x
  2. Step 2: Convert to fraction form
    617.02/850.43 = 564.71/x
  3. Step 3: Cross multiply
    617.02x = 850.43 × 564.71
  4. Step 4: Simplify right side
    617.02x = 480,243.48
  5. Step 5: Solve for x
    x = 480,243.48/617.02
  6. Step 6: Final answer
    x = 778.33

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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.