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Finding the Fourth Proportional to 712.59, 1,069.29 and 439.35

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Solution

The fourth proportional to 712.59, 1,069.29 and 439.35 is: 659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.59 : 1,069.29 = 439.35 : x
  2. Step 2: Convert to fraction form
    712.59/1,069.29 = 439.35/x
  3. Step 3: Cross multiply
    712.59x = 1,069.29 × 439.35
  4. Step 4: Simplify right side
    712.59x = 469,792.56
  5. Step 5: Solve for x
    x = 469,792.56/712.59
  6. Step 6: Final answer
    x = 659.27

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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.