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Finding the Fourth Proportional to 853.06, 1,279.08 and 384.45

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Solution

The fourth proportional to 853.06, 1,279.08 and 384.45 is: 576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.06 : 1,279.08 = 384.45 : x
  2. Step 2: Convert to fraction form
    853.06/1,279.08 = 384.45/x
  3. Step 3: Cross multiply
    853.06x = 1,279.08 × 384.45
  4. Step 4: Simplify right side
    853.06x = 491,742.31
  5. Step 5: Solve for x
    x = 491,742.31/853.06
  6. Step 6: Final answer
    x = 576.45

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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.