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Finding the Fourth Proportional to 591.06, 885.31 and 297.70

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Solution

The fourth proportional to 591.06, 885.31 and 297.70 is: 445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.06 : 885.31 = 297.70 : x
  2. Step 2: Convert to fraction form
    591.06/885.31 = 297.70/x
  3. Step 3: Cross multiply
    591.06x = 885.31 × 297.70
  4. Step 4: Simplify right side
    591.06x = 263,556.79
  5. Step 5: Solve for x
    x = 263,556.79/591.06
  6. Step 6: Final answer
    x = 445.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.