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Finding the Fourth Proportional to 605.76, 910.32 and 485.28

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Solution

The fourth proportional to 605.76, 910.32 and 485.28 is: 729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.76 : 910.32 = 485.28 : x
  2. Step 2: Convert to fraction form
    605.76/910.32 = 485.28/x
  3. Step 3: Cross multiply
    605.76x = 910.32 × 485.28
  4. Step 4: Simplify right side
    605.76x = 441,760.09
  5. Step 5: Solve for x
    x = 441,760.09/605.76
  6. Step 6: Final answer
    x = 729.27

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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.