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Finding the Fourth Proportional to 1,167.49, 1,611.11 and 643.52

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Solution

The fourth proportional to 1,167.49, 1,611.11 and 643.52 is: 888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.49 : 1,611.11 = 643.52 : x
  2. Step 2: Convert to fraction form
    1,167.49/1,611.11 = 643.52/x
  3. Step 3: Cross multiply
    1,167.49x = 1,611.11 × 643.52
  4. Step 4: Simplify right side
    1,167.49x = 1,036,781.51
  5. Step 5: Solve for x
    x = 1,036,781.51/1,167.49
  6. Step 6: Final answer
    x = 888.04

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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.