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Finding the Fourth Proportional to 1,092.78, 1,508.07 and 859.50

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Solution

The fourth proportional to 1,092.78, 1,508.07 and 859.50 is: 1,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.78 : 1,508.07 = 859.50 : x
  2. Step 2: Convert to fraction form
    1,092.78/1,508.07 = 859.50/x
  3. Step 3: Cross multiply
    1,092.78x = 1,508.07 × 859.50
  4. Step 4: Simplify right side
    1,092.78x = 1,296,186.17
  5. Step 5: Solve for x
    x = 1,296,186.17/1,092.78
  6. Step 6: Final answer
    x = 1,186.14

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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.