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Finding the Fourth Proportional to 508.10, 696.03 and 506.66

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Solution

The fourth proportional to 508.10, 696.03 and 506.66 is: 694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.10 : 696.03 = 506.66 : x
  2. Step 2: Convert to fraction form
    508.10/696.03 = 506.66/x
  3. Step 3: Cross multiply
    508.10x = 696.03 × 506.66
  4. Step 4: Simplify right side
    508.10x = 352,648.03
  5. Step 5: Solve for x
    x = 352,648.03/508.10
  6. Step 6: Final answer
    x = 694.05

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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.