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Finding the Fourth Proportional to 508.89, 762.28 and 422.02

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Solution

The fourth proportional to 508.89, 762.28 and 422.02 is: 632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.89 : 762.28 = 422.02 : x
  2. Step 2: Convert to fraction form
    508.89/762.28 = 422.02/x
  3. Step 3: Cross multiply
    508.89x = 762.28 × 422.02
  4. Step 4: Simplify right side
    508.89x = 321,697.30
  5. Step 5: Solve for x
    x = 321,697.30/508.89
  6. Step 6: Final answer
    x = 632.15

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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.