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Finding the Fourth Proportional to 896.00, 1,344.47 and 653.63

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Solution

The fourth proportional to 896.00, 1,344.47 and 653.63 is: 980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.00 : 1,344.47 = 653.63 : x
  2. Step 2: Convert to fraction form
    896.00/1,344.47 = 653.63/x
  3. Step 3: Cross multiply
    896.00x = 1,344.47 × 653.63
  4. Step 4: Simplify right side
    896.00x = 878,775.94
  5. Step 5: Solve for x
    x = 878,775.94/896.00
  6. Step 6: Final answer
    x = 980.78

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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.