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Finding the Fourth Proportional to 922.21, 1,272.99 and 628.99

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Solution

The fourth proportional to 922.21, 1,272.99 and 628.99 is: 868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.21 : 1,272.99 = 628.99 : x
  2. Step 2: Convert to fraction form
    922.21/1,272.99 = 628.99/x
  3. Step 3: Cross multiply
    922.21x = 1,272.99 × 628.99
  4. Step 4: Simplify right side
    922.21x = 800,697.98
  5. Step 5: Solve for x
    x = 800,697.98/922.21
  6. Step 6: Final answer
    x = 868.24

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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.