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Finding the Fourth Proportional to 1,330.59, 1,993.86 and 842.16

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Solution

The fourth proportional to 1,330.59, 1,993.86 and 842.16 is: 1,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.59 : 1,993.86 = 842.16 : x
  2. Step 2: Convert to fraction form
    1,330.59/1,993.86 = 842.16/x
  3. Step 3: Cross multiply
    1,330.59x = 1,993.86 × 842.16
  4. Step 4: Simplify right side
    1,330.59x = 1,679,149.14
  5. Step 5: Solve for x
    x = 1,679,149.14/1,330.59
  6. Step 6: Final answer
    x = 1,261.96

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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.