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Finding the Fourth Proportional to 811.09, 1,210.31 and 723.83

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Solution

The fourth proportional to 811.09, 1,210.31 and 723.83 is: 1,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.09 : 1,210.31 = 723.83 : x
  2. Step 2: Convert to fraction form
    811.09/1,210.31 = 723.83/x
  3. Step 3: Cross multiply
    811.09x = 1,210.31 × 723.83
  4. Step 4: Simplify right side
    811.09x = 876,058.69
  5. Step 5: Solve for x
    x = 876,058.69/811.09
  6. Step 6: Final answer
    x = 1,080.10

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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.