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Finding the Fourth Proportional to 811.04, 1,119.19 and 456.97

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Solution

The fourth proportional to 811.04, 1,119.19 and 456.97 is: 630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.04 : 1,119.19 = 456.97 : x
  2. Step 2: Convert to fraction form
    811.04/1,119.19 = 456.97/x
  3. Step 3: Cross multiply
    811.04x = 1,119.19 × 456.97
  4. Step 4: Simplify right side
    811.04x = 511,432.31
  5. Step 5: Solve for x
    x = 511,432.31/811.04
  6. Step 6: Final answer
    x = 630.59

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