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Finding the Fourth Proportional to 1,209.02, 1,668.98 and 811.31

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Solution

The fourth proportional to 1,209.02, 1,668.98 and 811.31 is: 1,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.02 : 1,668.98 = 811.31 : x
  2. Step 2: Convert to fraction form
    1,209.02/1,668.98 = 811.31/x
  3. Step 3: Cross multiply
    1,209.02x = 1,668.98 × 811.31
  4. Step 4: Simplify right side
    1,209.02x = 1,354,060.16
  5. Step 5: Solve for x
    x = 1,354,060.16/1,209.02
  6. Step 6: Final answer
    x = 1,119.97

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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.