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Finding the Fourth Proportional to 2,296.16, 3,444.20 and 564.72

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Solution

The fourth proportional to 2,296.16, 3,444.20 and 564.72 is: 847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.16 : 3,444.20 = 564.72 : x
  2. Step 2: Convert to fraction form
    2,296.16/3,444.20 = 564.72/x
  3. Step 3: Cross multiply
    2,296.16x = 3,444.20 × 564.72
  4. Step 4: Simplify right side
    2,296.16x = 1,945,008.62
  5. Step 5: Solve for x
    x = 1,945,008.62/2,296.16
  6. Step 6: Final answer
    x = 847.07

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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.