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Finding the Fourth Proportional to 921.56, 1,380.20 and 715.48

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Solution

The fourth proportional to 921.56, 1,380.20 and 715.48 is: 1,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.56 : 1,380.20 = 715.48 : x
  2. Step 2: Convert to fraction form
    921.56/1,380.20 = 715.48/x
  3. Step 3: Cross multiply
    921.56x = 1,380.20 × 715.48
  4. Step 4: Simplify right side
    921.56x = 987,505.50
  5. Step 5: Solve for x
    x = 987,505.50/921.56
  6. Step 6: Final answer
    x = 1,071.56

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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.