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Finding the Fourth Proportional to 2,296.11, 3,444.18 and 564.73

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Solution

The fourth proportional to 2,296.11, 3,444.18 and 564.73 is: 847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.11 : 3,444.18 = 564.73 : x
  2. Step 2: Convert to fraction form
    2,296.11/3,444.18 = 564.73/x
  3. Step 3: Cross multiply
    2,296.11x = 3,444.18 × 564.73
  4. Step 4: Simplify right side
    2,296.11x = 1,945,031.77
  5. Step 5: Solve for x
    x = 1,945,031.77/2,296.11
  6. Step 6: Final answer
    x = 847.10

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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.