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Finding the Fourth Proportional to 457.44, 682.08 and 438.24

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Solution

The fourth proportional to 457.44, 682.08 and 438.24 is: 653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.44 : 682.08 = 438.24 : x
  2. Step 2: Convert to fraction form
    457.44/682.08 = 438.24/x
  3. Step 3: Cross multiply
    457.44x = 682.08 × 438.24
  4. Step 4: Simplify right side
    457.44x = 298,914.74
  5. Step 5: Solve for x
    x = 298,914.74/457.44
  6. Step 6: Final answer
    x = 653.45

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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.