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Finding the Fourth Proportional to 497.60, 682.23 and 488.82

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Solution

The fourth proportional to 497.60, 682.23 and 488.82 is: 670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.60 : 682.23 = 488.82 : x
  2. Step 2: Convert to fraction form
    497.60/682.23 = 488.82/x
  3. Step 3: Cross multiply
    497.60x = 682.23 × 488.82
  4. Step 4: Simplify right side
    497.60x = 333,487.67
  5. Step 5: Solve for x
    x = 333,487.67/497.60
  6. Step 6: Final answer
    x = 670.20

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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.