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Finding the Fourth Proportional to 601.91, 903.01 and 169.06

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Solution

The fourth proportional to 601.91, 903.01 and 169.06 is: 253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.91 : 903.01 = 169.06 : x
  2. Step 2: Convert to fraction form
    601.91/903.01 = 169.06/x
  3. Step 3: Cross multiply
    601.91x = 903.01 × 169.06
  4. Step 4: Simplify right side
    601.91x = 152,662.87
  5. Step 5: Solve for x
    x = 152,662.87/601.91
  6. Step 6: Final answer
    x = 253.63

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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.