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Finding the Fourth Proportional to 1,609.36, 2,221.02 and 910.76

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Solution

The fourth proportional to 1,609.36, 2,221.02 and 910.76 is: 1,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.36 : 2,221.02 = 910.76 : x
  2. Step 2: Convert to fraction form
    1,609.36/2,221.02 = 910.76/x
  3. Step 3: Cross multiply
    1,609.36x = 2,221.02 × 910.76
  4. Step 4: Simplify right side
    1,609.36x = 2,022,816.18
  5. Step 5: Solve for x
    x = 2,022,816.18/1,609.36
  6. Step 6: Final answer
    x = 1,256.91

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Half scale
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Double scale
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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.