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Finding the Fourth Proportional to 811.41, 1,211.24 and 754.35

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Solution

The fourth proportional to 811.41, 1,211.24 and 754.35 is: 1,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.41 : 1,211.24 = 754.35 : x
  2. Step 2: Convert to fraction form
    811.41/1,211.24 = 754.35/x
  3. Step 3: Cross multiply
    811.41x = 1,211.24 × 754.35
  4. Step 4: Simplify right side
    811.41x = 913,695.12
  5. Step 5: Solve for x
    x = 913,695.12/811.41
  6. Step 6: Final answer
    x = 1,126.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.