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Finding the Fourth Proportional to 1,167.75, 1,611.51 and 643.79

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Solution

The fourth proportional to 1,167.75, 1,611.51 and 643.79 is: 888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.75 : 1,611.51 = 643.79 : x
  2. Step 2: Convert to fraction form
    1,167.75/1,611.51 = 643.79/x
  3. Step 3: Cross multiply
    1,167.75x = 1,611.51 × 643.79
  4. Step 4: Simplify right side
    1,167.75x = 1,037,474.02
  5. Step 5: Solve for x
    x = 1,037,474.02/1,167.75
  6. Step 6: Final answer
    x = 888.44

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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.