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Finding the Fourth Proportional to 808.73, 1,116.13 and 459.42

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Solution

The fourth proportional to 808.73, 1,116.13 and 459.42 is: 634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.73 : 1,116.13 = 459.42 : x
  2. Step 2: Convert to fraction form
    808.73/1,116.13 = 459.42/x
  3. Step 3: Cross multiply
    808.73x = 1,116.13 × 459.42
  4. Step 4: Simplify right side
    808.73x = 512,774.25
  5. Step 5: Solve for x
    x = 512,774.25/808.73
  6. Step 6: Final answer
    x = 634.05

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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.