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Finding the Fourth Proportional to 591.04, 815.54 and 338.98

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Solution

The fourth proportional to 591.04, 815.54 and 338.98 is: 467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.04 : 815.54 = 338.98 : x
  2. Step 2: Convert to fraction form
    591.04/815.54 = 338.98/x
  3. Step 3: Cross multiply
    591.04x = 815.54 × 338.98
  4. Step 4: Simplify right side
    591.04x = 276,451.75
  5. Step 5: Solve for x
    x = 276,451.75/591.04
  6. Step 6: Final answer
    x = 467.74

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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.