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Finding the Fourth Proportional to 811.24, 1,210.97 and 754.27

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Solution

The fourth proportional to 811.24, 1,210.97 and 754.27 is: 1,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.24 : 1,210.97 = 754.27 : x
  2. Step 2: Convert to fraction form
    811.24/1,210.97 = 754.27/x
  3. Step 3: Cross multiply
    811.24x = 1,210.97 × 754.27
  4. Step 4: Simplify right side
    811.24x = 913,397.20
  5. Step 5: Solve for x
    x = 913,397.20/811.24
  6. Step 6: Final answer
    x = 1,125.93

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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.