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Finding the Fourth Proportional to 838.14, 1,256.85 and 405.42

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Solution

The fourth proportional to 838.14, 1,256.85 and 405.42 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.14 : 1,256.85 = 405.42 : x
  2. Step 2: Convert to fraction form
    838.14/1,256.85 = 405.42/x
  3. Step 3: Cross multiply
    838.14x = 1,256.85 × 405.42
  4. Step 4: Simplify right side
    838.14x = 509,552.13
  5. Step 5: Solve for x
    x = 509,552.13/838.14
  6. Step 6: Final answer
    x = 607.96

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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.