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Finding the Fourth Proportional to 859.41, 1,293.98 and 757.35

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Solution

The fourth proportional to 859.41, 1,293.98 and 757.35 is: 1,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.41 : 1,293.98 = 757.35 : x
  2. Step 2: Convert to fraction form
    859.41/1,293.98 = 757.35/x
  3. Step 3: Cross multiply
    859.41x = 1,293.98 × 757.35
  4. Step 4: Simplify right side
    859.41x = 979,991.97
  5. Step 5: Solve for x
    x = 979,991.97/859.41
  6. Step 6: Final answer
    x = 1,140.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.