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Finding the Fourth Proportional to 601.52, 901.72 and 254.84

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Solution

The fourth proportional to 601.52, 901.72 and 254.84 is: 382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.52 : 901.72 = 254.84 : x
  2. Step 2: Convert to fraction form
    601.52/901.72 = 254.84/x
  3. Step 3: Cross multiply
    601.52x = 901.72 × 254.84
  4. Step 4: Simplify right side
    601.52x = 229,794.32
  5. Step 5: Solve for x
    x = 229,794.32/601.52
  6. Step 6: Final answer
    x = 382.02

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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.