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Finding the Fourth Proportional to 1,181.52, 1,772.82 and 877.50

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Solution

The fourth proportional to 1,181.52, 1,772.82 and 877.50 is: 1,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.52 : 1,772.82 = 877.50 : x
  2. Step 2: Convert to fraction form
    1,181.52/1,772.82 = 877.50/x
  3. Step 3: Cross multiply
    1,181.52x = 1,772.82 × 877.50
  4. Step 4: Simplify right side
    1,181.52x = 1,555,649.55
  5. Step 5: Solve for x
    x = 1,555,649.55/1,181.52
  6. Step 6: Final answer
    x = 1,316.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.