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Finding the Fourth Proportional to 999.61, 1,378.74 and 866.59

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Solution

The fourth proportional to 999.61, 1,378.74 and 866.59 is: 1,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.61 : 1,378.74 = 866.59 : x
  2. Step 2: Convert to fraction form
    999.61/1,378.74 = 866.59/x
  3. Step 3: Cross multiply
    999.61x = 1,378.74 × 866.59
  4. Step 4: Simplify right side
    999.61x = 1,194,800.94
  5. Step 5: Solve for x
    x = 1,194,800.94/999.61
  6. Step 6: Final answer
    x = 1,195.27

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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.