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Finding the Fourth Proportional to 712.91, 1,069.65 and 347.69

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Solution

The fourth proportional to 712.91, 1,069.65 and 347.69 is: 521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.91 : 1,069.65 = 347.69 : x
  2. Step 2: Convert to fraction form
    712.91/1,069.65 = 347.69/x
  3. Step 3: Cross multiply
    712.91x = 1,069.65 × 347.69
  4. Step 4: Simplify right side
    712.91x = 371,901.26
  5. Step 5: Solve for x
    x = 371,901.26/712.91
  6. Step 6: Final answer
    x = 521.67

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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.