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Finding the Fourth Proportional to 456.52, 680.93 and 388.44

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Solution

The fourth proportional to 456.52, 680.93 and 388.44 is: 579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 680.93 = 388.44 : x
  2. Step 2: Convert to fraction form
    456.52/680.93 = 388.44/x
  3. Step 3: Cross multiply
    456.52x = 680.93 × 388.44
  4. Step 4: Simplify right side
    456.52x = 264,500.45
  5. Step 5: Solve for x
    x = 264,500.45/456.52
  6. Step 6: Final answer
    x = 579.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.