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Finding the Fourth Proportional to 871.09, 1,307.12 and 323.38

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Solution

The fourth proportional to 871.09, 1,307.12 and 323.38 is: 485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.09 : 1,307.12 = 323.38 : x
  2. Step 2: Convert to fraction form
    871.09/1,307.12 = 323.38/x
  3. Step 3: Cross multiply
    871.09x = 1,307.12 × 323.38
  4. Step 4: Simplify right side
    871.09x = 422,696.47
  5. Step 5: Solve for x
    x = 422,696.47/871.09
  6. Step 6: Final answer
    x = 485.25

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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.