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Finding the Fourth Proportional to 601.98, 831 and 444.65

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Solution

The fourth proportional to 601.98, 831 and 444.65 is: 613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.98 : 831 = 444.65 : x
  2. Step 2: Convert to fraction form
    601.98/831 = 444.65/x
  3. Step 3: Cross multiply
    601.98x = 831 × 444.65
  4. Step 4: Simplify right side
    601.98x = 369,500.00
  5. Step 5: Solve for x
    x = 369,500.00/601.98
  6. Step 6: Final answer
    x = 613.81

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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.