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Finding the Fourth Proportional to 1,269.36, 1,905.66 and 837.63

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Solution

The fourth proportional to 1,269.36, 1,905.66 and 837.63 is: 1,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.36 : 1,905.66 = 837.63 : x
  2. Step 2: Convert to fraction form
    1,269.36/1,905.66 = 837.63/x
  3. Step 3: Cross multiply
    1,269.36x = 1,905.66 × 837.63
  4. Step 4: Simplify right side
    1,269.36x = 1,596,237.99
  5. Step 5: Solve for x
    x = 1,596,237.99/1,269.36
  6. Step 6: Final answer
    x = 1,257.51

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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.