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Finding the Fourth Proportional to 1,116.92, 1,674.05 and 842.10

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Solution

The fourth proportional to 1,116.92, 1,674.05 and 842.10 is: 1,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.92 : 1,674.05 = 842.10 : x
  2. Step 2: Convert to fraction form
    1,116.92/1,674.05 = 842.10/x
  3. Step 3: Cross multiply
    1,116.92x = 1,674.05 × 842.10
  4. Step 4: Simplify right side
    1,116.92x = 1,409,713.29
  5. Step 5: Solve for x
    x = 1,409,713.29/1,116.92
  6. Step 6: Final answer
    x = 1,262.15

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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.