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Finding the Fourth Proportional to 617.73, 847.66 and 562.03

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Solution

The fourth proportional to 617.73, 847.66 and 562.03 is: 771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.73 : 847.66 = 562.03 : x
  2. Step 2: Convert to fraction form
    617.73/847.66 = 562.03/x
  3. Step 3: Cross multiply
    617.73x = 847.66 × 562.03
  4. Step 4: Simplify right side
    617.73x = 476,410.35
  5. Step 5: Solve for x
    x = 476,410.35/617.73
  6. Step 6: Final answer
    x = 771.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.