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Finding the Fourth Proportional to 489.39, 676.67 and 427.89

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Solution

The fourth proportional to 489.39, 676.67 and 427.89 is: 591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.39 : 676.67 = 427.89 : x
  2. Step 2: Convert to fraction form
    489.39/676.67 = 427.89/x
  3. Step 3: Cross multiply
    489.39x = 676.67 × 427.89
  4. Step 4: Simplify right side
    489.39x = 289,538.19
  5. Step 5: Solve for x
    x = 289,538.19/489.39
  6. Step 6: Final answer
    x = 591.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.