Home / 1,081.05-1,623.40-706.42

Finding the Fourth Proportional to 1,081.05, 1,623.40 and 706.42

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Solution

The fourth proportional to 1,081.05, 1,623.40 and 706.42 is: 1,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.05 : 1,623.40 = 706.42 : x
  2. Step 2: Convert to fraction form
    1,081.05/1,623.40 = 706.42/x
  3. Step 3: Cross multiply
    1,081.05x = 1,623.40 × 706.42
  4. Step 4: Simplify right side
    1,081.05x = 1,146,803.99
  5. Step 5: Solve for x
    x = 1,146,803.99/1,081.05
  6. Step 6: Final answer
    x = 1,060.83

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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.