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Finding the Fourth Proportional to 571.62, 858.18 and 365.64

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Solution

The fourth proportional to 571.62, 858.18 and 365.64 is: 548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.62 : 858.18 = 365.64 : x
  2. Step 2: Convert to fraction form
    571.62/858.18 = 365.64/x
  3. Step 3: Cross multiply
    571.62x = 858.18 × 365.64
  4. Step 4: Simplify right side
    571.62x = 313,784.94
  5. Step 5: Solve for x
    x = 313,784.94/571.62
  6. Step 6: Final answer
    x = 548.94

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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.