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Finding the Fourth Proportional to 617.12, 851 and 506.24

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Solution

The fourth proportional to 617.12, 851 and 506.24 is: 698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.12 : 851 = 506.24 : x
  2. Step 2: Convert to fraction form
    617.12/851 = 506.24/x
  3. Step 3: Cross multiply
    617.12x = 851 × 506.24
  4. Step 4: Simplify right side
    617.12x = 430,810.24
  5. Step 5: Solve for x
    x = 430,810.24/617.12
  6. Step 6: Final answer
    x = 698.10

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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.