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Finding the Fourth Proportional to 846.27, 1,167.89 and 492.30

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Solution

The fourth proportional to 846.27, 1,167.89 and 492.30 is: 679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.27 : 1,167.89 = 492.30 : x
  2. Step 2: Convert to fraction form
    846.27/1,167.89 = 492.30/x
  3. Step 3: Cross multiply
    846.27x = 1,167.89 × 492.30
  4. Step 4: Simplify right side
    846.27x = 574,949.79
  5. Step 5: Solve for x
    x = 574,949.79/846.27
  6. Step 6: Final answer
    x = 679.39

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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.