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Finding the Fourth Proportional to 838.04, 1,257.00 and 398.96

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Solution

The fourth proportional to 838.04, 1,257.00 and 398.96 is: 598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.04 : 1,257.00 = 398.96 : x
  2. Step 2: Convert to fraction form
    838.04/1,257.00 = 398.96/x
  3. Step 3: Cross multiply
    838.04x = 1,257.00 × 398.96
  4. Step 4: Simplify right side
    838.04x = 501,489.65
  5. Step 5: Solve for x
    x = 501,489.65/838.04
  6. Step 6: Final answer
    x = 598.41

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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.