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Finding the Fourth Proportional to 1,173.72, 1,620.50 and 815.48

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Solution

The fourth proportional to 1,173.72, 1,620.50 and 815.48 is: 1,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.72 : 1,620.50 = 815.48 : x
  2. Step 2: Convert to fraction form
    1,173.72/1,620.50 = 815.48/x
  3. Step 3: Cross multiply
    1,173.72x = 1,620.50 × 815.48
  4. Step 4: Simplify right side
    1,173.72x = 1,321,485.34
  5. Step 5: Solve for x
    x = 1,321,485.34/1,173.72
  6. Step 6: Final answer
    x = 1,125.89

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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.