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Finding the Fourth Proportional to 808.21, 1,115.43 and 476.67

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Solution

The fourth proportional to 808.21, 1,115.43 and 476.67 is: 657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.21 : 1,115.43 = 476.67 : x
  2. Step 2: Convert to fraction form
    808.21/1,115.43 = 476.67/x
  3. Step 3: Cross multiply
    808.21x = 1,115.43 × 476.67
  4. Step 4: Simplify right side
    808.21x = 531,688.73
  5. Step 5: Solve for x
    x = 531,688.73/808.21
  6. Step 6: Final answer
    x = 657.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.