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Finding the Fourth Proportional to 508.96, 763.44 and 157.57

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Solution

The fourth proportional to 508.96, 763.44 and 157.57 is: 236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.96 : 763.44 = 157.57 : x
  2. Step 2: Convert to fraction form
    508.96/763.44 = 157.57/x
  3. Step 3: Cross multiply
    508.96x = 763.44 × 157.57
  4. Step 4: Simplify right side
    508.96x = 120,295.24
  5. Step 5: Solve for x
    x = 120,295.24/508.96
  6. Step 6: Final answer
    x = 236.36

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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.