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Finding the Fourth Proportional to 786.83, 1,086.08 and 703.79

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Solution

The fourth proportional to 786.83, 1,086.08 and 703.79 is: 971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.83 : 1,086.08 = 703.79 : x
  2. Step 2: Convert to fraction form
    786.83/1,086.08 = 703.79/x
  3. Step 3: Cross multiply
    786.83x = 1,086.08 × 703.79
  4. Step 4: Simplify right side
    786.83x = 764,363.29
  5. Step 5: Solve for x
    x = 764,363.29/786.83
  6. Step 6: Final answer
    x = 971.45

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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.