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Finding the Fourth Proportional to 838.42, 1,257.66 and 283.16

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Solution

The fourth proportional to 838.42, 1,257.66 and 283.16 is: 424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.42 : 1,257.66 = 283.16 : x
  2. Step 2: Convert to fraction form
    838.42/1,257.66 = 283.16/x
  3. Step 3: Cross multiply
    838.42x = 1,257.66 × 283.16
  4. Step 4: Simplify right side
    838.42x = 356,122.15
  5. Step 5: Solve for x
    x = 356,122.15/838.42
  6. Step 6: Final answer
    x = 424.76

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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.