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Finding the Fourth Proportional to 1,202.02, 1,659.36 and 809.68

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Solution

The fourth proportional to 1,202.02, 1,659.36 and 809.68 is: 1,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.02 : 1,659.36 = 809.68 : x
  2. Step 2: Convert to fraction form
    1,202.02/1,659.36 = 809.68/x
  3. Step 3: Cross multiply
    1,202.02x = 1,659.36 × 809.68
  4. Step 4: Simplify right side
    1,202.02x = 1,343,550.60
  5. Step 5: Solve for x
    x = 1,343,550.60/1,202.02
  6. Step 6: Final answer
    x = 1,117.74

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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.