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Finding the Fourth Proportional to 508.78, 697.90 and 504.39

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Solution

The fourth proportional to 508.78, 697.90 and 504.39 is: 691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 697.90 = 504.39 : x
  2. Step 2: Convert to fraction form
    508.78/697.90 = 504.39/x
  3. Step 3: Cross multiply
    508.78x = 697.90 × 504.39
  4. Step 4: Simplify right side
    508.78x = 352,016.08
  5. Step 5: Solve for x
    x = 352,016.08/508.78
  6. Step 6: Final answer
    x = 691.88

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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.