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Finding the Fourth Proportional to 1,234.94, 1,702.86 and 920.78

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Solution

The fourth proportional to 1,234.94, 1,702.86 and 920.78 is: 1,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.94 : 1,702.86 = 920.78 : x
  2. Step 2: Convert to fraction form
    1,234.94/1,702.86 = 920.78/x
  3. Step 3: Cross multiply
    1,234.94x = 1,702.86 × 920.78
  4. Step 4: Simplify right side
    1,234.94x = 1,567,959.43
  5. Step 5: Solve for x
    x = 1,567,959.43/1,234.94
  6. Step 6: Final answer
    x = 1,269.66

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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.