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Finding the Fourth Proportional to 853.86, 1,273.70 and 839.76

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Solution

The fourth proportional to 853.86, 1,273.70 and 839.76 is: 1,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.86 : 1,273.70 = 839.76 : x
  2. Step 2: Convert to fraction form
    853.86/1,273.70 = 839.76/x
  3. Step 3: Cross multiply
    853.86x = 1,273.70 × 839.76
  4. Step 4: Simplify right side
    853.86x = 1,069,598.11
  5. Step 5: Solve for x
    x = 1,069,598.11/853.86
  6. Step 6: Final answer
    x = 1,252.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.