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Finding the Fourth Proportional to 489.66, 734.61 and 296.94

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Solution

The fourth proportional to 489.66, 734.61 and 296.94 is: 445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.66 : 734.61 = 296.94 : x
  2. Step 2: Convert to fraction form
    489.66/734.61 = 296.94/x
  3. Step 3: Cross multiply
    489.66x = 734.61 × 296.94
  4. Step 4: Simplify right side
    489.66x = 218,135.09
  5. Step 5: Solve for x
    x = 218,135.09/489.66
  6. Step 6: Final answer
    x = 445.48

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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.