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Finding the Fourth Proportional to 859.88, 1,187.12 and 660.35

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Solution

The fourth proportional to 859.88, 1,187.12 and 660.35 is: 911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.88 : 1,187.12 = 660.35 : x
  2. Step 2: Convert to fraction form
    859.88/1,187.12 = 660.35/x
  3. Step 3: Cross multiply
    859.88x = 1,187.12 × 660.35
  4. Step 4: Simplify right side
    859.88x = 783,919.31
  5. Step 5: Solve for x
    x = 783,919.31/859.88
  6. Step 6: Final answer
    x = 911.66

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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.