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Finding the Fourth Proportional to 1,181.83, 1,632.14 and 886.63

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Solution

The fourth proportional to 1,181.83, 1,632.14 and 886.63 is: 1,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.83 : 1,632.14 = 886.63 : x
  2. Step 2: Convert to fraction form
    1,181.83/1,632.14 = 886.63/x
  3. Step 3: Cross multiply
    1,181.83x = 1,632.14 × 886.63
  4. Step 4: Simplify right side
    1,181.83x = 1,447,104.29
  5. Step 5: Solve for x
    x = 1,447,104.29/1,181.83
  6. Step 6: Final answer
    x = 1,224.46

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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.