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Finding the Fourth Proportional to 1,181.90, 1,773.69 and 533.18

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Solution

The fourth proportional to 1,181.90, 1,773.69 and 533.18 is: 800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.90 : 1,773.69 = 533.18 : x
  2. Step 2: Convert to fraction form
    1,181.90/1,773.69 = 533.18/x
  3. Step 3: Cross multiply
    1,181.90x = 1,773.69 × 533.18
  4. Step 4: Simplify right side
    1,181.90x = 945,696.03
  5. Step 5: Solve for x
    x = 945,696.03/1,181.90
  6. Step 6: Final answer
    x = 800.15

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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.