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Finding the Fourth Proportional to 853.11, 1,278.64 and 365.13

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Solution

The fourth proportional to 853.11, 1,278.64 and 365.13 is: 547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.11 : 1,278.64 = 365.13 : x
  2. Step 2: Convert to fraction form
    853.11/1,278.64 = 365.13/x
  3. Step 3: Cross multiply
    853.11x = 1,278.64 × 365.13
  4. Step 4: Simplify right side
    853.11x = 466,871.82
  5. Step 5: Solve for x
    x = 466,871.82/853.11
  6. Step 6: Final answer
    x = 547.26

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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.