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Finding the Fourth Proportional to 571.08, 786.81 and 374.25

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Solution

The fourth proportional to 571.08, 786.81 and 374.25 is: 515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.08 : 786.81 = 374.25 : x
  2. Step 2: Convert to fraction form
    571.08/786.81 = 374.25/x
  3. Step 3: Cross multiply
    571.08x = 786.81 × 374.25
  4. Step 4: Simplify right side
    571.08x = 294,463.64
  5. Step 5: Solve for x
    x = 294,463.64/571.08
  6. Step 6: Final answer
    x = 515.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.