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Finding the Fourth Proportional to 564.70, 841.91 and 550.48

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Solution

The fourth proportional to 564.70, 841.91 and 550.48 is: 820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.70 : 841.91 = 550.48 : x
  2. Step 2: Convert to fraction form
    564.70/841.91 = 550.48/x
  3. Step 3: Cross multiply
    564.70x = 841.91 × 550.48
  4. Step 4: Simplify right side
    564.70x = 463,454.62
  5. Step 5: Solve for x
    x = 463,454.62/564.70
  6. Step 6: Final answer
    x = 820.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.