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Finding the Fourth Proportional to 591.97, 816.85 and 339.89

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Solution

The fourth proportional to 591.97, 816.85 and 339.89 is: 469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.97 : 816.85 = 339.89 : x
  2. Step 2: Convert to fraction form
    591.97/816.85 = 339.89/x
  3. Step 3: Cross multiply
    591.97x = 816.85 × 339.89
  4. Step 4: Simplify right side
    591.97x = 277,635.06
  5. Step 5: Solve for x
    x = 277,635.06/591.97
  6. Step 6: Final answer
    x = 469.00

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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.