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Finding the Fourth Proportional to 853.28, 1,278.48 and 527.84

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Solution

The fourth proportional to 853.28, 1,278.48 and 527.84 is: 790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.28 : 1,278.48 = 527.84 : x
  2. Step 2: Convert to fraction form
    853.28/1,278.48 = 527.84/x
  3. Step 3: Cross multiply
    853.28x = 1,278.48 × 527.84
  4. Step 4: Simplify right side
    853.28x = 674,832.88
  5. Step 5: Solve for x
    x = 674,832.88/853.28
  6. Step 6: Final answer
    x = 790.87

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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.