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Finding the Fourth Proportional to 1,142.71, 1,713.87 and 412.18

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Solution

The fourth proportional to 1,142.71, 1,713.87 and 412.18 is: 618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.71 : 1,713.87 = 412.18 : x
  2. Step 2: Convert to fraction form
    1,142.71/1,713.87 = 412.18/x
  3. Step 3: Cross multiply
    1,142.71x = 1,713.87 × 412.18
  4. Step 4: Simplify right side
    1,142.71x = 706,422.94
  5. Step 5: Solve for x
    x = 706,422.94/1,142.71
  6. Step 6: Final answer
    x = 618.20

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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.