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Finding the Fourth Proportional to 1,205.22, 1,663.71 and 811.50

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Solution

The fourth proportional to 1,205.22, 1,663.71 and 811.50 is: 1,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.22 : 1,663.71 = 811.50 : x
  2. Step 2: Convert to fraction form
    1,205.22/1,663.71 = 811.50/x
  3. Step 3: Cross multiply
    1,205.22x = 1,663.71 × 811.50
  4. Step 4: Simplify right side
    1,205.22x = 1,350,100.67
  5. Step 5: Solve for x
    x = 1,350,100.67/1,205.22
  6. Step 6: Final answer
    x = 1,120.21

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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.