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Finding the Fourth Proportional to 2,295.45, 3,443.19 and 564.08

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Solution

The fourth proportional to 2,295.45, 3,443.19 and 564.08 is: 846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.45 : 3,443.19 = 564.08 : x
  2. Step 2: Convert to fraction form
    2,295.45/3,443.19 = 564.08/x
  3. Step 3: Cross multiply
    2,295.45x = 3,443.19 × 564.08
  4. Step 4: Simplify right side
    2,295.45x = 1,942,214.58
  5. Step 5: Solve for x
    x = 1,942,214.58/2,295.45
  6. Step 6: Final answer
    x = 846.11

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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.