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Finding the Fourth Proportional to 509.19, 763.89 and 157.83

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Solution

The fourth proportional to 509.19, 763.89 and 157.83 is: 236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 763.89 = 157.83 : x
  2. Step 2: Convert to fraction form
    509.19/763.89 = 157.83/x
  3. Step 3: Cross multiply
    509.19x = 763.89 × 157.83
  4. Step 4: Simplify right side
    509.19x = 120,564.76
  5. Step 5: Solve for x
    x = 120,564.76/509.19
  6. Step 6: Final answer
    x = 236.78

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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.