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Finding the Fourth Proportional to 598.89, 897.78 and 269.49

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Solution

The fourth proportional to 598.89, 897.78 and 269.49 is: 403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.89 : 897.78 = 269.49 : x
  2. Step 2: Convert to fraction form
    598.89/897.78 = 269.49/x
  3. Step 3: Cross multiply
    598.89x = 897.78 × 269.49
  4. Step 4: Simplify right side
    598.89x = 241,942.73
  5. Step 5: Solve for x
    x = 241,942.73/598.89
  6. Step 6: Final answer
    x = 403.99

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1.5x scale

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.