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Finding the Fourth Proportional to 786.97, 1,086.58 and 708.13

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Solution

The fourth proportional to 786.97, 1,086.58 and 708.13 is: 977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.97 : 1,086.58 = 708.13 : x
  2. Step 2: Convert to fraction form
    786.97/1,086.58 = 708.13/x
  3. Step 3: Cross multiply
    786.97x = 1,086.58 × 708.13
  4. Step 4: Simplify right side
    786.97x = 769,439.90
  5. Step 5: Solve for x
    x = 769,439.90/786.97
  6. Step 6: Final answer
    x = 977.72

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1.5x scale

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.