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Finding the Fourth Proportional to 1,111.32, 1,668.60 and 677.16

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Solution

The fourth proportional to 1,111.32, 1,668.60 and 677.16 is: 1,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.32 : 1,668.60 = 677.16 : x
  2. Step 2: Convert to fraction form
    1,111.32/1,668.60 = 677.16/x
  3. Step 3: Cross multiply
    1,111.32x = 1,668.60 × 677.16
  4. Step 4: Simplify right side
    1,111.32x = 1,129,909.18
  5. Step 5: Solve for x
    x = 1,129,909.18/1,111.32
  6. Step 6: Final answer
    x = 1,016.73

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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.