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Finding the Fourth Proportional to 1,168.13, 1,611.95 and 644.09

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Solution

The fourth proportional to 1,168.13, 1,611.95 and 644.09 is: 888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.13 : 1,611.95 = 644.09 : x
  2. Step 2: Convert to fraction form
    1,168.13/1,611.95 = 644.09/x
  3. Step 3: Cross multiply
    1,168.13x = 1,611.95 × 644.09
  4. Step 4: Simplify right side
    1,168.13x = 1,038,237.66
  5. Step 5: Solve for x
    x = 1,038,237.66/1,168.13
  6. Step 6: Final answer
    x = 888.80

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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.