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Finding the Fourth Proportional to 712.37, 1,067.61 and 402.95

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Solution

The fourth proportional to 712.37, 1,067.61 and 402.95 is: 603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.37 : 1,067.61 = 402.95 : x
  2. Step 2: Convert to fraction form
    712.37/1,067.61 = 402.95/x
  3. Step 3: Cross multiply
    712.37x = 1,067.61 × 402.95
  4. Step 4: Simplify right side
    712.37x = 430,193.45
  5. Step 5: Solve for x
    x = 430,193.45/712.37
  6. Step 6: Final answer
    x = 603.89

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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.