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Finding the Fourth Proportional to 1,142.64, 1,713.17 and 362.39

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Solution

The fourth proportional to 1,142.64, 1,713.17 and 362.39 is: 543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.64 : 1,713.17 = 362.39 : x
  2. Step 2: Convert to fraction form
    1,142.64/1,713.17 = 362.39/x
  3. Step 3: Cross multiply
    1,142.64x = 1,713.17 × 362.39
  4. Step 4: Simplify right side
    1,142.64x = 620,825.30
  5. Step 5: Solve for x
    x = 620,825.30/1,142.64
  6. Step 6: Final answer
    x = 543.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.