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Finding the Fourth Proportional to 1,235.36, 1,705.04 and 837.83

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Solution

The fourth proportional to 1,235.36, 1,705.04 and 837.83 is: 1,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.36 : 1,705.04 = 837.83 : x
  2. Step 2: Convert to fraction form
    1,235.36/1,705.04 = 837.83/x
  3. Step 3: Cross multiply
    1,235.36x = 1,705.04 × 837.83
  4. Step 4: Simplify right side
    1,235.36x = 1,428,520.95
  5. Step 5: Solve for x
    x = 1,428,520.95/1,235.36
  6. Step 6: Final answer
    x = 1,156.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.