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Finding the Fourth Proportional to 1,352.33, 1,866.68 and 792.98

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Solution

The fourth proportional to 1,352.33, 1,866.68 and 792.98 is: 1,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.33 : 1,866.68 = 792.98 : x
  2. Step 2: Convert to fraction form
    1,352.33/1,866.68 = 792.98/x
  3. Step 3: Cross multiply
    1,352.33x = 1,866.68 × 792.98
  4. Step 4: Simplify right side
    1,352.33x = 1,480,236.58
  5. Step 5: Solve for x
    x = 1,480,236.58/1,352.33
  6. Step 6: Final answer
    x = 1,094.58

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