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Finding the Fourth Proportional to 712.55, 1,069.06 and 279.47

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Solution

The fourth proportional to 712.55, 1,069.06 and 279.47 is: 419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.55 : 1,069.06 = 279.47 : x
  2. Step 2: Convert to fraction form
    712.55/1,069.06 = 279.47/x
  3. Step 3: Cross multiply
    712.55x = 1,069.06 × 279.47
  4. Step 4: Simplify right side
    712.55x = 298,770.20
  5. Step 5: Solve for x
    x = 298,770.20/712.55
  6. Step 6: Final answer
    x = 419.30

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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.