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Finding the Fourth Proportional to 617.27, 852.91 and 506.66

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Solution

The fourth proportional to 617.27, 852.91 and 506.66 is: 700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.27 : 852.91 = 506.66 : x
  2. Step 2: Convert to fraction form
    617.27/852.91 = 506.66/x
  3. Step 3: Cross multiply
    617.27x = 852.91 × 506.66
  4. Step 4: Simplify right side
    617.27x = 432,129.85
  5. Step 5: Solve for x
    x = 432,129.85/617.27
  6. Step 6: Final answer
    x = 700.07

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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.