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Finding the Fourth Proportional to 896.49, 1,342.44 and 531.54

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Solution

The fourth proportional to 896.49, 1,342.44 and 531.54 is: 795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.49 : 1,342.44 = 531.54 : x
  2. Step 2: Convert to fraction form
    896.49/1,342.44 = 531.54/x
  3. Step 3: Cross multiply
    896.49x = 1,342.44 × 531.54
  4. Step 4: Simplify right side
    896.49x = 713,560.56
  5. Step 5: Solve for x
    x = 713,560.56/896.49
  6. Step 6: Final answer
    x = 795.95

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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.