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Finding the Fourth Proportional to 1,242.12, 1,863.02 and 511.61

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Solution

The fourth proportional to 1,242.12, 1,863.02 and 511.61 is: 767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.12 : 1,863.02 = 511.61 : x
  2. Step 2: Convert to fraction form
    1,242.12/1,863.02 = 511.61/x
  3. Step 3: Cross multiply
    1,242.12x = 1,863.02 × 511.61
  4. Step 4: Simplify right side
    1,242.12x = 953,127.79
  5. Step 5: Solve for x
    x = 953,127.79/1,242.12
  6. Step 6: Final answer
    x = 767.34

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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.