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Finding the Fourth Proportional to 786.80, 1,086.47 and 492.57

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Solution

The fourth proportional to 786.80, 1,086.47 and 492.57 is: 680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.80 : 1,086.47 = 492.57 : x
  2. Step 2: Convert to fraction form
    786.80/1,086.47 = 492.57/x
  3. Step 3: Cross multiply
    786.80x = 1,086.47 × 492.57
  4. Step 4: Simplify right side
    786.80x = 535,161.04
  5. Step 5: Solve for x
    x = 535,161.04/786.80
  6. Step 6: Final answer
    x = 680.17

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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.