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Finding the Fourth Proportional to 571.81, 859.62 and 451.52

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Solution

The fourth proportional to 571.81, 859.62 and 451.52 is: 678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.81 : 859.62 = 451.52 : x
  2. Step 2: Convert to fraction form
    571.81/859.62 = 451.52/x
  3. Step 3: Cross multiply
    571.81x = 859.62 × 451.52
  4. Step 4: Simplify right side
    571.81x = 388,135.62
  5. Step 5: Solve for x
    x = 388,135.62/571.81
  6. Step 6: Final answer
    x = 678.78

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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.