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Finding the Fourth Proportional to 489.54, 734.38 and 399.02

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Solution

The fourth proportional to 489.54, 734.38 and 399.02 is: 598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.54 : 734.38 = 399.02 : x
  2. Step 2: Convert to fraction form
    489.54/734.38 = 399.02/x
  3. Step 3: Cross multiply
    489.54x = 734.38 × 399.02
  4. Step 4: Simplify right side
    489.54x = 293,033.15
  5. Step 5: Solve for x
    x = 293,033.15/489.54
  6. Step 6: Final answer
    x = 598.59

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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.