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Finding the Fourth Proportional to 712.38, 1,068.51 and 279.42

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Solution

The fourth proportional to 712.38, 1,068.51 and 279.42 is: 419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.38 : 1,068.51 = 279.42 : x
  2. Step 2: Convert to fraction form
    712.38/1,068.51 = 279.42/x
  3. Step 3: Cross multiply
    712.38x = 1,068.51 × 279.42
  4. Step 4: Simplify right side
    712.38x = 298,563.06
  5. Step 5: Solve for x
    x = 298,563.06/712.38
  6. Step 6: Final answer
    x = 419.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.