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Finding the Fourth Proportional to 1,092.88, 1,635.22 and 652.50

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Solution

The fourth proportional to 1,092.88, 1,635.22 and 652.50 is: 976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.88 : 1,635.22 = 652.50 : x
  2. Step 2: Convert to fraction form
    1,092.88/1,635.22 = 652.50/x
  3. Step 3: Cross multiply
    1,092.88x = 1,635.22 × 652.50
  4. Step 4: Simplify right side
    1,092.88x = 1,066,981.05
  5. Step 5: Solve for x
    x = 1,066,981.05/1,092.88
  6. Step 6: Final answer
    x = 976.30

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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.