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Finding the Fourth Proportional to 601.14, 829.02 and 376.80

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Solution

The fourth proportional to 601.14, 829.02 and 376.80 is: 519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 829.02 = 376.80 : x
  2. Step 2: Convert to fraction form
    601.14/829.02 = 376.80/x
  3. Step 3: Cross multiply
    601.14x = 829.02 × 376.80
  4. Step 4: Simplify right side
    601.14x = 312,374.74
  5. Step 5: Solve for x
    x = 312,374.74/601.14
  6. Step 6: Final answer
    x = 519.64

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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.