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Finding the Fourth Proportional to 853.23, 1,279.91 and 305.41

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Solution

The fourth proportional to 853.23, 1,279.91 and 305.41 is: 458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.23 : 1,279.91 = 305.41 : x
  2. Step 2: Convert to fraction form
    853.23/1,279.91 = 305.41/x
  3. Step 3: Cross multiply
    853.23x = 1,279.91 × 305.41
  4. Step 4: Simplify right side
    853.23x = 390,898.02
  5. Step 5: Solve for x
    x = 390,898.02/853.23
  6. Step 6: Final answer
    x = 458.14

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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.