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Finding the Fourth Proportional to 591.06, 815.76 and 339.03

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Solution

The fourth proportional to 591.06, 815.76 and 339.03 is: 467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.06 : 815.76 = 339.03 : x
  2. Step 2: Convert to fraction form
    591.06/815.76 = 339.03/x
  3. Step 3: Cross multiply
    591.06x = 815.76 × 339.03
  4. Step 4: Simplify right side
    591.06x = 276,567.11
  5. Step 5: Solve for x
    x = 276,567.11/591.06
  6. Step 6: Final answer
    x = 467.92

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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.