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Finding the Fourth Proportional to 1,051.30, 1,577.36 and 321.09

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Solution

The fourth proportional to 1,051.30, 1,577.36 and 321.09 is: 481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.30 : 1,577.36 = 321.09 : x
  2. Step 2: Convert to fraction form
    1,051.30/1,577.36 = 321.09/x
  3. Step 3: Cross multiply
    1,051.30x = 1,577.36 × 321.09
  4. Step 4: Simplify right side
    1,051.30x = 506,474.52
  5. Step 5: Solve for x
    x = 506,474.52/1,051.30
  6. Step 6: Final answer
    x = 481.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.