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Finding the Fourth Proportional to 684.50, 1,028.27 and 489.98

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Solution

The fourth proportional to 684.50, 1,028.27 and 489.98 is: 736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.50 : 1,028.27 = 489.98 : x
  2. Step 2: Convert to fraction form
    684.50/1,028.27 = 489.98/x
  3. Step 3: Cross multiply
    684.50x = 1,028.27 × 489.98
  4. Step 4: Simplify right side
    684.50x = 503,835.53
  5. Step 5: Solve for x
    x = 503,835.53/684.50
  6. Step 6: Final answer
    x = 736.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.