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Finding the Fourth Proportional to 853.64, 1,282.28 and 611.72

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Solution

The fourth proportional to 853.64, 1,282.28 and 611.72 is: 918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.64 : 1,282.28 = 611.72 : x
  2. Step 2: Convert to fraction form
    853.64/1,282.28 = 611.72/x
  3. Step 3: Cross multiply
    853.64x = 1,282.28 × 611.72
  4. Step 4: Simplify right side
    853.64x = 784,396.32
  5. Step 5: Solve for x
    x = 784,396.32/853.64
  6. Step 6: Final answer
    x = 918.88

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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.