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Finding the Fourth Proportional to 497.38, 682.64 and 455.68

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Solution

The fourth proportional to 497.38, 682.64 and 455.68 is: 625.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.38 : 682.64 = 455.68 : x
  2. Step 2: Convert to fraction form
    497.38/682.64 = 455.68/x
  3. Step 3: Cross multiply
    497.38x = 682.64 × 455.68
  4. Step 4: Simplify right side
    497.38x = 311,065.40
  5. Step 5: Solve for x
    x = 311,065.40/497.38
  6. Step 6: Final answer
    x = 625.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.