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Finding the Fourth Proportional to 838.02, 1,257.14 and 404.88

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Solution

The fourth proportional to 838.02, 1,257.14 and 404.88 is: 607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.02 : 1,257.14 = 404.88 : x
  2. Step 2: Convert to fraction form
    838.02/1,257.14 = 404.88/x
  3. Step 3: Cross multiply
    838.02x = 1,257.14 × 404.88
  4. Step 4: Simplify right side
    838.02x = 508,990.84
  5. Step 5: Solve for x
    x = 508,990.84/838.02
  6. Step 6: Final answer
    x = 607.37

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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.