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Finding the Fourth Proportional to 786.68, 1,086.30 and 492.44

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Solution

The fourth proportional to 786.68, 1,086.30 and 492.44 is: 679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.68 : 1,086.30 = 492.44 : x
  2. Step 2: Convert to fraction form
    786.68/1,086.30 = 492.44/x
  3. Step 3: Cross multiply
    786.68x = 1,086.30 × 492.44
  4. Step 4: Simplify right side
    786.68x = 534,937.57
  5. Step 5: Solve for x
    x = 534,937.57/786.68
  6. Step 6: Final answer
    x = 679.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.