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Finding the Fourth Proportional to 591.26, 884.72 and 519.98

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Solution

The fourth proportional to 591.26, 884.72 and 519.98 is: 778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.26 : 884.72 = 519.98 : x
  2. Step 2: Convert to fraction form
    591.26/884.72 = 519.98/x
  3. Step 3: Cross multiply
    591.26x = 884.72 × 519.98
  4. Step 4: Simplify right side
    591.26x = 460,036.71
  5. Step 5: Solve for x
    x = 460,036.71/591.26
  6. Step 6: Final answer
    x = 778.06

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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.