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Finding the Fourth Proportional to 1,102.09, 1,650.70 and 810.10

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Solution

The fourth proportional to 1,102.09, 1,650.70 and 810.10 is: 1,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.09 : 1,650.70 = 810.10 : x
  2. Step 2: Convert to fraction form
    1,102.09/1,650.70 = 810.10/x
  3. Step 3: Cross multiply
    1,102.09x = 1,650.70 × 810.10
  4. Step 4: Simplify right side
    1,102.09x = 1,337,232.07
  5. Step 5: Solve for x
    x = 1,337,232.07/1,102.09
  6. Step 6: Final answer
    x = 1,213.36

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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.