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Finding the Fourth Proportional to 811.01, 1,118.82 and 496.23

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Solution

The fourth proportional to 811.01, 1,118.82 and 496.23 is: 684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.01 : 1,118.82 = 496.23 : x
  2. Step 2: Convert to fraction form
    811.01/1,118.82 = 496.23/x
  3. Step 3: Cross multiply
    811.01x = 1,118.82 × 496.23
  4. Step 4: Simplify right side
    811.01x = 555,192.05
  5. Step 5: Solve for x
    x = 555,192.05/811.01
  6. Step 6: Final answer
    x = 684.57

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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.