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Finding the Fourth Proportional to 712.02, 1,067.90 and 192.03

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Solution

The fourth proportional to 712.02, 1,067.90 and 192.03 is: 288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.02 : 1,067.90 = 192.03 : x
  2. Step 2: Convert to fraction form
    712.02/1,067.90 = 192.03/x
  3. Step 3: Cross multiply
    712.02x = 1,067.90 × 192.03
  4. Step 4: Simplify right side
    712.02x = 205,068.84
  5. Step 5: Solve for x
    x = 205,068.84/712.02
  6. Step 6: Final answer
    x = 288.01

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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.