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Finding the Fourth Proportional to 1,181.88, 1,773.66 and 953.53

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Solution

The fourth proportional to 1,181.88, 1,773.66 and 953.53 is: 1,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.88 : 1,773.66 = 953.53 : x
  2. Step 2: Convert to fraction form
    1,181.88/1,773.66 = 953.53/x
  3. Step 3: Cross multiply
    1,181.88x = 1,773.66 × 953.53
  4. Step 4: Simplify right side
    1,181.88x = 1,691,238.02
  5. Step 5: Solve for x
    x = 1,691,238.02/1,181.88
  6. Step 6: Final answer
    x = 1,430.97

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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.