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Finding the Fourth Proportional to 921, 1,272.06 and 609.96

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Solution

The fourth proportional to 921, 1,272.06 and 609.96 is: 842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    921 : 1,272.06 = 609.96 : x
  2. Step 2: Convert to fraction form
    921/1,272.06 = 609.96/x
  3. Step 3: Cross multiply
    921x = 1,272.06 × 609.96
  4. Step 4: Simplify right side
    921x = 775,905.72
  5. Step 5: Solve for x
    x = 775,905.72/921
  6. Step 6: Final answer
    x = 842.46

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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.