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Finding the Fourth Proportional to 1,002.47, 1,382.36 and 863.06

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Solution

The fourth proportional to 1,002.47, 1,382.36 and 863.06 is: 1,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.47 : 1,382.36 = 863.06 : x
  2. Step 2: Convert to fraction form
    1,002.47/1,382.36 = 863.06/x
  3. Step 3: Cross multiply
    1,002.47x = 1,382.36 × 863.06
  4. Step 4: Simplify right side
    1,002.47x = 1,193,048.39
  5. Step 5: Solve for x
    x = 1,193,048.39/1,002.47
  6. Step 6: Final answer
    x = 1,190.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.