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Finding the Fourth Proportional to 868.39, 1,295.35 and 786.31

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Solution

The fourth proportional to 868.39, 1,295.35 and 786.31 is: 1,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.39 : 1,295.35 = 786.31 : x
  2. Step 2: Convert to fraction form
    868.39/1,295.35 = 786.31/x
  3. Step 3: Cross multiply
    868.39x = 1,295.35 × 786.31
  4. Step 4: Simplify right side
    868.39x = 1,018,546.66
  5. Step 5: Solve for x
    x = 1,018,546.66/868.39
  6. Step 6: Final answer
    x = 1,172.91

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1.5x scale

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.