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Finding the Fourth Proportional to 921.56, 1,381.24 and 704.48

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Solution

The fourth proportional to 921.56, 1,381.24 and 704.48 is: 1,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.56 : 1,381.24 = 704.48 : x
  2. Step 2: Convert to fraction form
    921.56/1,381.24 = 704.48/x
  3. Step 3: Cross multiply
    921.56x = 1,381.24 × 704.48
  4. Step 4: Simplify right side
    921.56x = 973,055.96
  5. Step 5: Solve for x
    x = 973,055.96/921.56
  6. Step 6: Final answer
    x = 1,055.88

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Why These Related Problems?

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