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Finding the Fourth Proportional to 1,016.74, 1,404.25 and 684.59

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Solution

The fourth proportional to 1,016.74, 1,404.25 and 684.59 is: 945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.74 : 1,404.25 = 684.59 : x
  2. Step 2: Convert to fraction form
    1,016.74/1,404.25 = 684.59/x
  3. Step 3: Cross multiply
    1,016.74x = 1,404.25 × 684.59
  4. Step 4: Simplify right side
    1,016.74x = 961,336.21
  5. Step 5: Solve for x
    x = 961,336.21/1,016.74
  6. Step 6: Final answer
    x = 945.51

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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.