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Finding the Fourth Proportional to 1,076.15, 1,611.04 and 663.96

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Solution

The fourth proportional to 1,076.15, 1,611.04 and 663.96 is: 993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.15 : 1,611.04 = 663.96 : x
  2. Step 2: Convert to fraction form
    1,076.15/1,611.04 = 663.96/x
  3. Step 3: Cross multiply
    1,076.15x = 1,611.04 × 663.96
  4. Step 4: Simplify right side
    1,076.15x = 1,069,671.74
  5. Step 5: Solve for x
    x = 1,069,671.74/1,076.15
  6. Step 6: Final answer
    x = 993.98

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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.