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Finding the Fourth Proportional to 852.12, 1,274.82 and 609.24

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Solution

The fourth proportional to 852.12, 1,274.82 and 609.24 is: 911.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.12 : 1,274.82 = 609.24 : x
  2. Step 2: Convert to fraction form
    852.12/1,274.82 = 609.24/x
  3. Step 3: Cross multiply
    852.12x = 1,274.82 × 609.24
  4. Step 4: Simplify right side
    852.12x = 776,671.34
  5. Step 5: Solve for x
    x = 776,671.34/852.12
  6. Step 6: Final answer
    x = 911.46

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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.