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Finding the Fourth Proportional to 601.46, 829.78 and 444.47

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Solution

The fourth proportional to 601.46, 829.78 and 444.47 is: 613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.46 : 829.78 = 444.47 : x
  2. Step 2: Convert to fraction form
    601.46/829.78 = 444.47/x
  3. Step 3: Cross multiply
    601.46x = 829.78 × 444.47
  4. Step 4: Simplify right side
    601.46x = 368,807.06
  5. Step 5: Solve for x
    x = 368,807.06/601.46
  6. Step 6: Final answer
    x = 613.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.