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Finding the Fourth Proportional to 712.70, 1,068.87 and 279.86

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Solution

The fourth proportional to 712.70, 1,068.87 and 279.86 is: 419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.70 : 1,068.87 = 279.86 : x
  2. Step 2: Convert to fraction form
    712.70/1,068.87 = 279.86/x
  3. Step 3: Cross multiply
    712.70x = 1,068.87 × 279.86
  4. Step 4: Simplify right side
    712.70x = 299,133.96
  5. Step 5: Solve for x
    x = 299,133.96/712.70
  6. Step 6: Final answer
    x = 419.72

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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.