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Finding the Fourth Proportional to 619.20, 926.88 and 456.48

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Solution

The fourth proportional to 619.20, 926.88 and 456.48 is: 683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.20 : 926.88 = 456.48 : x
  2. Step 2: Convert to fraction form
    619.20/926.88 = 456.48/x
  3. Step 3: Cross multiply
    619.20x = 926.88 × 456.48
  4. Step 4: Simplify right side
    619.20x = 423,102.18
  5. Step 5: Solve for x
    x = 423,102.18/619.20
  6. Step 6: Final answer
    x = 683.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.