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Finding the Fourth Proportional to 853.73, 1,178.30 and 539.15

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Solution

The fourth proportional to 853.73, 1,178.30 and 539.15 is: 744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.73 : 1,178.30 = 539.15 : x
  2. Step 2: Convert to fraction form
    853.73/1,178.30 = 539.15/x
  3. Step 3: Cross multiply
    853.73x = 1,178.30 × 539.15
  4. Step 4: Simplify right side
    853.73x = 635,271.86
  5. Step 5: Solve for x
    x = 635,271.86/853.73
  6. Step 6: Final answer
    x = 744.12

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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.