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Finding the Fourth Proportional to 1,142.12, 1,713.18 and 362.09

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Solution

The fourth proportional to 1,142.12, 1,713.18 and 362.09 is: 543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.12 : 1,713.18 = 362.09 : x
  2. Step 2: Convert to fraction form
    1,142.12/1,713.18 = 362.09/x
  3. Step 3: Cross multiply
    1,142.12x = 1,713.18 × 362.09
  4. Step 4: Simplify right side
    1,142.12x = 620,325.35
  5. Step 5: Solve for x
    x = 620,325.35/1,142.12
  6. Step 6: Final answer
    x = 543.14

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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.