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Finding the Fourth Proportional to 882.50, 1,322.22 and 622.03

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Solution

The fourth proportional to 882.50, 1,322.22 and 622.03 is: 931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.50 : 1,322.22 = 622.03 : x
  2. Step 2: Convert to fraction form
    882.50/1,322.22 = 622.03/x
  3. Step 3: Cross multiply
    882.50x = 1,322.22 × 622.03
  4. Step 4: Simplify right side
    882.50x = 822,462.01
  5. Step 5: Solve for x
    x = 822,462.01/882.50
  6. Step 6: Final answer
    x = 931.97

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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.