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Finding the Fourth Proportional to 1,234.84, 1,702.26 and 939.58

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Solution

The fourth proportional to 1,234.84, 1,702.26 and 939.58 is: 1,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.84 : 1,702.26 = 939.58 : x
  2. Step 2: Convert to fraction form
    1,234.84/1,702.26 = 939.58/x
  3. Step 3: Cross multiply
    1,234.84x = 1,702.26 × 939.58
  4. Step 4: Simplify right side
    1,234.84x = 1,599,409.45
  5. Step 5: Solve for x
    x = 1,599,409.45/1,234.84
  6. Step 6: Final answer
    x = 1,295.24

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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.