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Finding the Fourth Proportional to 1,577.75, 2,178.04 and 914.48

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Solution

The fourth proportional to 1,577.75, 2,178.04 and 914.48 is: 1,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.75 : 2,178.04 = 914.48 : x
  2. Step 2: Convert to fraction form
    1,577.75/2,178.04 = 914.48/x
  3. Step 3: Cross multiply
    1,577.75x = 2,178.04 × 914.48
  4. Step 4: Simplify right side
    1,577.75x = 1,991,777.18
  5. Step 5: Solve for x
    x = 1,991,777.18/1,577.75
  6. Step 6: Final answer
    x = 1,262.41

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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.