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Finding the Fourth Proportional to 571.35, 855.97 and 564.98

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Solution

The fourth proportional to 571.35, 855.97 and 564.98 is: 846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.35 : 855.97 = 564.98 : x
  2. Step 2: Convert to fraction form
    571.35/855.97 = 564.98/x
  3. Step 3: Cross multiply
    571.35x = 855.97 × 564.98
  4. Step 4: Simplify right side
    571.35x = 483,600.24
  5. Step 5: Solve for x
    x = 483,600.24/571.35
  6. Step 6: Final answer
    x = 846.41

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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.