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Finding the Fourth Proportional to 712.78, 1,068.20 and 346.84

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Solution

The fourth proportional to 712.78, 1,068.20 and 346.84 is: 519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.78 : 1,068.20 = 346.84 : x
  2. Step 2: Convert to fraction form
    712.78/1,068.20 = 346.84/x
  3. Step 3: Cross multiply
    712.78x = 1,068.20 × 346.84
  4. Step 4: Simplify right side
    712.78x = 370,494.49
  5. Step 5: Solve for x
    x = 370,494.49/712.78
  6. Step 6: Final answer
    x = 519.79

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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.