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Finding the Fourth Proportional to 1,600.30, 2,208.54 and 892.20

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Solution

The fourth proportional to 1,600.30, 2,208.54 and 892.20 is: 1,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.30 : 2,208.54 = 892.20 : x
  2. Step 2: Convert to fraction form
    1,600.30/2,208.54 = 892.20/x
  3. Step 3: Cross multiply
    1,600.30x = 2,208.54 × 892.20
  4. Step 4: Simplify right side
    1,600.30x = 1,970,459.39
  5. Step 5: Solve for x
    x = 1,970,459.39/1,600.30
  6. Step 6: Final answer
    x = 1,231.31

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1.5x scale

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.