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Finding the Fourth Proportional to 1,086.63, 1,497.87 and 865.23

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Solution

The fourth proportional to 1,086.63, 1,497.87 and 865.23 is: 1,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.63 : 1,497.87 = 865.23 : x
  2. Step 2: Convert to fraction form
    1,086.63/1,497.87 = 865.23/x
  3. Step 3: Cross multiply
    1,086.63x = 1,497.87 × 865.23
  4. Step 4: Simplify right side
    1,086.63x = 1,296,002.06
  5. Step 5: Solve for x
    x = 1,296,002.06/1,086.63
  6. Step 6: Final answer
    x = 1,192.68

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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.