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Finding the Fourth Proportional to 601.45, 900.21 and 326.86

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Solution

The fourth proportional to 601.45, 900.21 and 326.86 is: 489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.45 : 900.21 = 326.86 : x
  2. Step 2: Convert to fraction form
    601.45/900.21 = 326.86/x
  3. Step 3: Cross multiply
    601.45x = 900.21 × 326.86
  4. Step 4: Simplify right side
    601.45x = 294,242.64
  5. Step 5: Solve for x
    x = 294,242.64/601.45
  6. Step 6: Final answer
    x = 489.22

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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.