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Finding the Fourth Proportional to 999.19, 1,380.14 and 842.35

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Solution

The fourth proportional to 999.19, 1,380.14 and 842.35 is: 1,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.19 : 1,380.14 = 842.35 : x
  2. Step 2: Convert to fraction form
    999.19/1,380.14 = 842.35/x
  3. Step 3: Cross multiply
    999.19x = 1,380.14 × 842.35
  4. Step 4: Simplify right side
    999.19x = 1,162,560.93
  5. Step 5: Solve for x
    x = 1,162,560.93/999.19
  6. Step 6: Final answer
    x = 1,163.50

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1.5x scale

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.