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Finding the Fourth Proportional to 508.76, 761.83 and 422.42

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Solution

The fourth proportional to 508.76, 761.83 and 422.42 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.76 : 761.83 = 422.42 : x
  2. Step 2: Convert to fraction form
    508.76/761.83 = 422.42/x
  3. Step 3: Cross multiply
    508.76x = 761.83 × 422.42
  4. Step 4: Simplify right side
    508.76x = 321,812.23
  5. Step 5: Solve for x
    x = 321,812.23/508.76
  6. Step 6: Final answer
    x = 632.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.