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Finding the Fourth Proportional to 489.36, 674.85 and 384.15

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Solution

The fourth proportional to 489.36, 674.85 and 384.15 is: 529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.36 : 674.85 = 384.15 : x
  2. Step 2: Convert to fraction form
    489.36/674.85 = 384.15/x
  3. Step 3: Cross multiply
    489.36x = 674.85 × 384.15
  4. Step 4: Simplify right side
    489.36x = 259,243.63
  5. Step 5: Solve for x
    x = 259,243.63/489.36
  6. Step 6: Final answer
    x = 529.76

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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.