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Finding the Fourth Proportional to 899.29, 1,348.01 and 682.41

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Solution

The fourth proportional to 899.29, 1,348.01 and 682.41 is: 1,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.29 : 1,348.01 = 682.41 : x
  2. Step 2: Convert to fraction form
    899.29/1,348.01 = 682.41/x
  3. Step 3: Cross multiply
    899.29x = 1,348.01 × 682.41
  4. Step 4: Simplify right side
    899.29x = 919,895.50
  5. Step 5: Solve for x
    x = 919,895.50/899.29
  6. Step 6: Final answer
    x = 1,022.91

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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.