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Finding the Fourth Proportional to 571.86, 858.25 and 298.03

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Solution

The fourth proportional to 571.86, 858.25 and 298.03 is: 447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.86 : 858.25 = 298.03 : x
  2. Step 2: Convert to fraction form
    571.86/858.25 = 298.03/x
  3. Step 3: Cross multiply
    571.86x = 858.25 × 298.03
  4. Step 4: Simplify right side
    571.86x = 255,782.41
  5. Step 5: Solve for x
    x = 255,782.41/571.86
  6. Step 6: Final answer
    x = 447.28

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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.