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Finding the Fourth Proportional to 2,296.32, 3,444.50 and 564.95

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Solution

The fourth proportional to 2,296.32, 3,444.50 and 564.95 is: 847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.32 : 3,444.50 = 564.95 : x
  2. Step 2: Convert to fraction form
    2,296.32/3,444.50 = 564.95/x
  3. Step 3: Cross multiply
    2,296.32x = 3,444.50 × 564.95
  4. Step 4: Simplify right side
    2,296.32x = 1,945,958.84
  5. Step 5: Solve for x
    x = 1,945,958.84/2,296.32
  6. Step 6: Final answer
    x = 847.42

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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.