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Finding the Fourth Proportional to 601.30, 900.72 and 254.50

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Solution

The fourth proportional to 601.30, 900.72 and 254.50 is: 381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.30 : 900.72 = 254.50 : x
  2. Step 2: Convert to fraction form
    601.30/900.72 = 254.50/x
  3. Step 3: Cross multiply
    601.30x = 900.72 × 254.50
  4. Step 4: Simplify right side
    601.30x = 229,233.24
  5. Step 5: Solve for x
    x = 229,233.24/601.30
  6. Step 6: Final answer
    x = 381.23

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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.