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Finding the Fourth Proportional to 537.24, 805.62 and 508.44

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Solution

The fourth proportional to 537.24, 805.62 and 508.44 is: 762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 805.62 = 508.44 : x
  2. Step 2: Convert to fraction form
    537.24/805.62 = 508.44/x
  3. Step 3: Cross multiply
    537.24x = 805.62 × 508.44
  4. Step 4: Simplify right side
    537.24x = 409,609.43
  5. Step 5: Solve for x
    x = 409,609.43/537.24
  6. Step 6: Final answer
    x = 762.43

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