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Finding the Fourth Proportional to 619.48, 928.88 and 254.54

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Solution

The fourth proportional to 619.48, 928.88 and 254.54 is: 381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.48 : 928.88 = 254.54 : x
  2. Step 2: Convert to fraction form
    619.48/928.88 = 254.54/x
  3. Step 3: Cross multiply
    619.48x = 928.88 × 254.54
  4. Step 4: Simplify right side
    619.48x = 236,437.12
  5. Step 5: Solve for x
    x = 236,437.12/619.48
  6. Step 6: Final answer
    x = 381.67

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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.