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Finding the Fourth Proportional to 489.33, 734.23 and 294.40

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Solution

The fourth proportional to 489.33, 734.23 and 294.40 is: 441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.33 : 734.23 = 294.40 : x
  2. Step 2: Convert to fraction form
    489.33/734.23 = 294.40/x
  3. Step 3: Cross multiply
    489.33x = 734.23 × 294.40
  4. Step 4: Simplify right side
    489.33x = 216,157.31
  5. Step 5: Solve for x
    x = 216,157.31/489.33
  6. Step 6: Final answer
    x = 441.74

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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.