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Finding the Fourth Proportional to 1,304.60, 1,798.20 and 806.13

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Solution

The fourth proportional to 1,304.60, 1,798.20 and 806.13 is: 1,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.60 : 1,798.20 = 806.13 : x
  2. Step 2: Convert to fraction form
    1,304.60/1,798.20 = 806.13/x
  3. Step 3: Cross multiply
    1,304.60x = 1,798.20 × 806.13
  4. Step 4: Simplify right side
    1,304.60x = 1,449,582.97
  5. Step 5: Solve for x
    x = 1,449,582.97/1,304.60
  6. Step 6: Final answer
    x = 1,111.14

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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.