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Finding the Fourth Proportional to 564.82, 845.07 and 371.50

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Solution

The fourth proportional to 564.82, 845.07 and 371.50 is: 555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.82 : 845.07 = 371.50 : x
  2. Step 2: Convert to fraction form
    564.82/845.07 = 371.50/x
  3. Step 3: Cross multiply
    564.82x = 845.07 × 371.50
  4. Step 4: Simplify right side
    564.82x = 313,943.51
  5. Step 5: Solve for x
    x = 313,943.51/564.82
  6. Step 6: Final answer
    x = 555.83

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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.