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Finding the Fourth Proportional to 808.31, 1,115.42 and 476.72

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Solution

The fourth proportional to 808.31, 1,115.42 and 476.72 is: 657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.31 : 1,115.42 = 476.72 : x
  2. Step 2: Convert to fraction form
    808.31/1,115.42 = 476.72/x
  3. Step 3: Cross multiply
    808.31x = 1,115.42 × 476.72
  4. Step 4: Simplify right side
    808.31x = 531,735.06
  5. Step 5: Solve for x
    x = 531,735.06/808.31
  6. Step 6: Final answer
    x = 657.84

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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.