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Finding the Fourth Proportional to 1,864.23, 2,796.33 and 477.56

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Solution

The fourth proportional to 1,864.23, 2,796.33 and 477.56 is: 716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.23 : 2,796.33 = 477.56 : x
  2. Step 2: Convert to fraction form
    1,864.23/2,796.33 = 477.56/x
  3. Step 3: Cross multiply
    1,864.23x = 2,796.33 × 477.56
  4. Step 4: Simplify right side
    1,864.23x = 1,335,415.35
  5. Step 5: Solve for x
    x = 1,335,415.35/1,864.23
  6. Step 6: Final answer
    x = 716.34

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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.