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Finding the Fourth Proportional to 601.74, 829.71 and 444.60

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Solution

The fourth proportional to 601.74, 829.71 and 444.60 is: 613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.74 : 829.71 = 444.60 : x
  2. Step 2: Convert to fraction form
    601.74/829.71 = 444.60/x
  3. Step 3: Cross multiply
    601.74x = 829.71 × 444.60
  4. Step 4: Simplify right side
    601.74x = 368,889.07
  5. Step 5: Solve for x
    x = 368,889.07/601.74
  6. Step 6: Final answer
    x = 613.04

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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.