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Finding the Fourth Proportional to 896.07, 1,344.49 and 485.50

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Solution

The fourth proportional to 896.07, 1,344.49 and 485.50 is: 728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.07 : 1,344.49 = 485.50 : x
  2. Step 2: Convert to fraction form
    896.07/1,344.49 = 485.50/x
  3. Step 3: Cross multiply
    896.07x = 1,344.49 × 485.50
  4. Step 4: Simplify right side
    896.07x = 652,749.90
  5. Step 5: Solve for x
    x = 652,749.90/896.07
  6. Step 6: Final answer
    x = 728.46

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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.