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Finding the Fourth Proportional to 808.82, 1,211.76 and 500.51

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Solution

The fourth proportional to 808.82, 1,211.76 and 500.51 is: 749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.82 : 1,211.76 = 500.51 : x
  2. Step 2: Convert to fraction form
    808.82/1,211.76 = 500.51/x
  3. Step 3: Cross multiply
    808.82x = 1,211.76 × 500.51
  4. Step 4: Simplify right side
    808.82x = 606,501.03
  5. Step 5: Solve for x
    x = 606,501.03/808.82
  6. Step 6: Final answer
    x = 749.86

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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.