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Finding the Fourth Proportional to 829.93, 1,244.89 and 395.77

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Solution

The fourth proportional to 829.93, 1,244.89 and 395.77 is: 593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.93 : 1,244.89 = 395.77 : x
  2. Step 2: Convert to fraction form
    829.93/1,244.89 = 395.77/x
  3. Step 3: Cross multiply
    829.93x = 1,244.89 × 395.77
  4. Step 4: Simplify right side
    829.93x = 492,690.12
  5. Step 5: Solve for x
    x = 492,690.12/829.93
  6. Step 6: Final answer
    x = 593.65

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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.