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Finding the Fourth Proportional to 1,643.92, 2,465.79 and 489.67

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Solution

The fourth proportional to 1,643.92, 2,465.79 and 489.67 is: 734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.92 : 2,465.79 = 489.67 : x
  2. Step 2: Convert to fraction form
    1,643.92/2,465.79 = 489.67/x
  3. Step 3: Cross multiply
    1,643.92x = 2,465.79 × 489.67
  4. Step 4: Simplify right side
    1,643.92x = 1,207,423.39
  5. Step 5: Solve for x
    x = 1,207,423.39/1,643.92
  6. Step 6: Final answer
    x = 734.48

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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.