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Finding the Fourth Proportional to 1,234.00, 1,702.11 and 792.45

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Solution

The fourth proportional to 1,234.00, 1,702.11 and 792.45 is: 1,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.00 : 1,702.11 = 792.45 : x
  2. Step 2: Convert to fraction form
    1,234.00/1,702.11 = 792.45/x
  3. Step 3: Cross multiply
    1,234.00x = 1,702.11 × 792.45
  4. Step 4: Simplify right side
    1,234.00x = 1,348,840.04
  5. Step 5: Solve for x
    x = 1,348,840.04/1,234.00
  6. Step 6: Final answer
    x = 1,093.06

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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.