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Finding the Fourth Proportional to 524.21, 789.38 and 456.54

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Solution

The fourth proportional to 524.21, 789.38 and 456.54 is: 687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.21 : 789.38 = 456.54 : x
  2. Step 2: Convert to fraction form
    524.21/789.38 = 456.54/x
  3. Step 3: Cross multiply
    524.21x = 789.38 × 456.54
  4. Step 4: Simplify right side
    524.21x = 360,380.01
  5. Step 5: Solve for x
    x = 360,380.01/524.21
  6. Step 6: Final answer
    x = 687.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.