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Finding the Fourth Proportional to 898.58, 1,238.09 and 662.13

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Solution

The fourth proportional to 898.58, 1,238.09 and 662.13 is: 912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.58 : 1,238.09 = 662.13 : x
  2. Step 2: Convert to fraction form
    898.58/1,238.09 = 662.13/x
  3. Step 3: Cross multiply
    898.58x = 1,238.09 × 662.13
  4. Step 4: Simplify right side
    898.58x = 819,773.22
  5. Step 5: Solve for x
    x = 819,773.22/898.58
  6. Step 6: Final answer
    x = 912.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.