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Finding the Fourth Proportional to 509.06, 764 and 489.62

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Solution

The fourth proportional to 509.06, 764 and 489.62 is: 734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.06 : 764 = 489.62 : x
  2. Step 2: Convert to fraction form
    509.06/764 = 489.62/x
  3. Step 3: Cross multiply
    509.06x = 764 × 489.62
  4. Step 4: Simplify right side
    509.06x = 374,069.68
  5. Step 5: Solve for x
    x = 374,069.68/509.06
  6. Step 6: Final answer
    x = 734.82

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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.