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Finding the Fourth Proportional to 1,864.50, 2,797.36 and 565.97

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Solution

The fourth proportional to 1,864.50, 2,797.36 and 565.97 is: 849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.50 : 2,797.36 = 565.97 : x
  2. Step 2: Convert to fraction form
    1,864.50/2,797.36 = 565.97/x
  3. Step 3: Cross multiply
    1,864.50x = 2,797.36 × 565.97
  4. Step 4: Simplify right side
    1,864.50x = 1,583,221.84
  5. Step 5: Solve for x
    x = 1,583,221.84/1,864.50
  6. Step 6: Final answer
    x = 849.14

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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.