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Finding the Fourth Proportional to 1,181.83, 1,631 and 657.86

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Solution

The fourth proportional to 1,181.83, 1,631 and 657.86 is: 907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.83 : 1,631 = 657.86 : x
  2. Step 2: Convert to fraction form
    1,181.83/1,631 = 657.86/x
  3. Step 3: Cross multiply
    1,181.83x = 1,631 × 657.86
  4. Step 4: Simplify right side
    1,181.83x = 1,072,969.66
  5. Step 5: Solve for x
    x = 1,072,969.66/1,181.83
  6. Step 6: Final answer
    x = 907.89

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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.