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Finding the Fourth Proportional to 800.20, 1,199.56 and 718.20

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Solution

The fourth proportional to 800.20, 1,199.56 and 718.20 is: 1,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.20 : 1,199.56 = 718.20 : x
  2. Step 2: Convert to fraction form
    800.20/1,199.56 = 718.20/x
  3. Step 3: Cross multiply
    800.20x = 1,199.56 × 718.20
  4. Step 4: Simplify right side
    800.20x = 861,523.99
  5. Step 5: Solve for x
    x = 861,523.99/800.20
  6. Step 6: Final answer
    x = 1,076.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.