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Finding the Fourth Proportional to 853.82, 1,281.45 and 469.34

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Solution

The fourth proportional to 853.82, 1,281.45 and 469.34 is: 704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.82 : 1,281.45 = 469.34 : x
  2. Step 2: Convert to fraction form
    853.82/1,281.45 = 469.34/x
  3. Step 3: Cross multiply
    853.82x = 1,281.45 × 469.34
  4. Step 4: Simplify right side
    853.82x = 601,435.74
  5. Step 5: Solve for x
    x = 601,435.74/853.82
  6. Step 6: Final answer
    x = 704.41

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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.