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Finding the Fourth Proportional to 811.15, 1,119.49 and 587.17

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Solution

The fourth proportional to 811.15, 1,119.49 and 587.17 is: 810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.15 : 1,119.49 = 587.17 : x
  2. Step 2: Convert to fraction form
    811.15/1,119.49 = 587.17/x
  3. Step 3: Cross multiply
    811.15x = 1,119.49 × 587.17
  4. Step 4: Simplify right side
    811.15x = 657,324.58
  5. Step 5: Solve for x
    x = 657,324.58/811.15
  6. Step 6: Final answer
    x = 810.36

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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.