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Finding the Fourth Proportional to 1,609.56, 2,221.20 and 891.77

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Solution

The fourth proportional to 1,609.56, 2,221.20 and 891.77 is: 1,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.56 : 2,221.20 = 891.77 : x
  2. Step 2: Convert to fraction form
    1,609.56/2,221.20 = 891.77/x
  3. Step 3: Cross multiply
    1,609.56x = 2,221.20 × 891.77
  4. Step 4: Simplify right side
    1,609.56x = 1,980,788.42
  5. Step 5: Solve for x
    x = 1,980,788.42/1,609.56
  6. Step 6: Final answer
    x = 1,230.64

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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.