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Finding the Fourth Proportional to 967.24, 1,447.80 and 620.11

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Solution

The fourth proportional to 967.24, 1,447.80 and 620.11 is: 928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.24 : 1,447.80 = 620.11 : x
  2. Step 2: Convert to fraction form
    967.24/1,447.80 = 620.11/x
  3. Step 3: Cross multiply
    967.24x = 1,447.80 × 620.11
  4. Step 4: Simplify right side
    967.24x = 897,795.26
  5. Step 5: Solve for x
    x = 897,795.26/967.24
  6. Step 6: Final answer
    x = 928.20

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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.