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Finding the Fourth Proportional to 1,161.17, 1,602.62 and 811.61

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Solution

The fourth proportional to 1,161.17, 1,602.62 and 811.61 is: 1,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.17 : 1,602.62 = 811.61 : x
  2. Step 2: Convert to fraction form
    1,161.17/1,602.62 = 811.61/x
  3. Step 3: Cross multiply
    1,161.17x = 1,602.62 × 811.61
  4. Step 4: Simplify right side
    1,161.17x = 1,300,698.36
  5. Step 5: Solve for x
    x = 1,300,698.36/1,161.17
  6. Step 6: Final answer
    x = 1,120.16

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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.