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Finding the Fourth Proportional to 712.59, 1,067.32 and 346.60

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Solution

The fourth proportional to 712.59, 1,067.32 and 346.60 is: 519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.59 : 1,067.32 = 346.60 : x
  2. Step 2: Convert to fraction form
    712.59/1,067.32 = 346.60/x
  3. Step 3: Cross multiply
    712.59x = 1,067.32 × 346.60
  4. Step 4: Simplify right side
    712.59x = 369,933.11
  5. Step 5: Solve for x
    x = 369,933.11/712.59
  6. Step 6: Final answer
    x = 519.14

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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.