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Finding the Fourth Proportional to 602.94, 905.81 and 523.74

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Solution

The fourth proportional to 602.94, 905.81 and 523.74 is: 786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.94 : 905.81 = 523.74 : x
  2. Step 2: Convert to fraction form
    602.94/905.81 = 523.74/x
  3. Step 3: Cross multiply
    602.94x = 905.81 × 523.74
  4. Step 4: Simplify right side
    602.94x = 474,406.31
  5. Step 5: Solve for x
    x = 474,406.31/602.94
  6. Step 6: Final answer
    x = 786.82

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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.