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Finding the Fourth Proportional to 489.06, 674.28 and 384.30

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Solution

The fourth proportional to 489.06, 674.28 and 384.30 is: 529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.06 : 674.28 = 384.30 : x
  2. Step 2: Convert to fraction form
    489.06/674.28 = 384.30/x
  3. Step 3: Cross multiply
    489.06x = 674.28 × 384.30
  4. Step 4: Simplify right side
    489.06x = 259,125.80
  5. Step 5: Solve for x
    x = 259,125.80/489.06
  6. Step 6: Final answer
    x = 529.84

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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.