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Finding the Fourth Proportional to 712.78, 1,069.36 and 296.34

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Solution

The fourth proportional to 712.78, 1,069.36 and 296.34 is: 444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.78 : 1,069.36 = 296.34 : x
  2. Step 2: Convert to fraction form
    712.78/1,069.36 = 296.34/x
  3. Step 3: Cross multiply
    712.78x = 1,069.36 × 296.34
  4. Step 4: Simplify right side
    712.78x = 316,894.88
  5. Step 5: Solve for x
    x = 316,894.88/712.78
  6. Step 6: Final answer
    x = 444.59

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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.