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Finding the Fourth Proportional to 1,077.12, 1,611.84 and 784.96

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Solution

The fourth proportional to 1,077.12, 1,611.84 and 784.96 is: 1,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.12 : 1,611.84 = 784.96 : x
  2. Step 2: Convert to fraction form
    1,077.12/1,611.84 = 784.96/x
  3. Step 3: Cross multiply
    1,077.12x = 1,611.84 × 784.96
  4. Step 4: Simplify right side
    1,077.12x = 1,265,229.93
  5. Step 5: Solve for x
    x = 1,265,229.93/1,077.12
  6. Step 6: Final answer
    x = 1,174.64

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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.