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Finding the Fourth Proportional to 852.02, 1,276.91 and 338.42

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Solution

The fourth proportional to 852.02, 1,276.91 and 338.42 is: 507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.02 : 1,276.91 = 338.42 : x
  2. Step 2: Convert to fraction form
    852.02/1,276.91 = 338.42/x
  3. Step 3: Cross multiply
    852.02x = 1,276.91 × 338.42
  4. Step 4: Simplify right side
    852.02x = 432,131.88
  5. Step 5: Solve for x
    x = 432,131.88/852.02
  6. Step 6: Final answer
    x = 507.19

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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.