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Finding the Fourth Proportional to 1,020.14, 1,406.50 and 833.44

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Solution

The fourth proportional to 1,020.14, 1,406.50 and 833.44 is: 1,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.14 : 1,406.50 = 833.44 : x
  2. Step 2: Convert to fraction form
    1,020.14/1,406.50 = 833.44/x
  3. Step 3: Cross multiply
    1,020.14x = 1,406.50 × 833.44
  4. Step 4: Simplify right side
    1,020.14x = 1,172,233.36
  5. Step 5: Solve for x
    x = 1,172,233.36/1,020.14
  6. Step 6: Final answer
    x = 1,149.09

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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.