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Finding the Fourth Proportional to 489.03, 674.11 and 364.50

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Solution

The fourth proportional to 489.03, 674.11 and 364.50 is: 502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.03 : 674.11 = 364.50 : x
  2. Step 2: Convert to fraction form
    489.03/674.11 = 364.50/x
  3. Step 3: Cross multiply
    489.03x = 674.11 × 364.50
  4. Step 4: Simplify right side
    489.03x = 245,711.27
  5. Step 5: Solve for x
    x = 245,711.27/489.03
  6. Step 6: Final answer
    x = 502.45

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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.