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Finding the Fourth Proportional to 590.81, 815.26 and 338.74

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Solution

The fourth proportional to 590.81, 815.26 and 338.74 is: 467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.81 : 815.26 = 338.74 : x
  2. Step 2: Convert to fraction form
    590.81/815.26 = 338.74/x
  3. Step 3: Cross multiply
    590.81x = 815.26 × 338.74
  4. Step 4: Simplify right side
    590.81x = 276,161.17
  5. Step 5: Solve for x
    x = 276,161.17/590.81
  6. Step 6: Final answer
    x = 467.43

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