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Finding the Fourth Proportional to 712.70, 1,069.15 and 347.19

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Solution

The fourth proportional to 712.70, 1,069.15 and 347.19 is: 520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.70 : 1,069.15 = 347.19 : x
  2. Step 2: Convert to fraction form
    712.70/1,069.15 = 347.19/x
  3. Step 3: Cross multiply
    712.70x = 1,069.15 × 347.19
  4. Step 4: Simplify right side
    712.70x = 371,198.19
  5. Step 5: Solve for x
    x = 371,198.19/712.70
  6. Step 6: Final answer
    x = 520.83

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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.