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Finding the Fourth Proportional to 561.92, 838.84 and 489

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Solution

The fourth proportional to 561.92, 838.84 and 489 is: 729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.92 : 838.84 = 489 : x
  2. Step 2: Convert to fraction form
    561.92/838.84 = 489/x
  3. Step 3: Cross multiply
    561.92x = 838.84 × 489
  4. Step 4: Simplify right side
    561.92x = 410,192.76
  5. Step 5: Solve for x
    x = 410,192.76/561.92
  6. Step 6: Final answer
    x = 729.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.