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Finding the Fourth Proportional to 1,016.96, 1,519.97 and 934.94

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Solution

The fourth proportional to 1,016.96, 1,519.97 and 934.94 is: 1,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.96 : 1,519.97 = 934.94 : x
  2. Step 2: Convert to fraction form
    1,016.96/1,519.97 = 934.94/x
  3. Step 3: Cross multiply
    1,016.96x = 1,519.97 × 934.94
  4. Step 4: Simplify right side
    1,016.96x = 1,421,079.88
  5. Step 5: Solve for x
    x = 1,421,079.88/1,016.96
  6. Step 6: Final answer
    x = 1,397.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.