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Finding the Fourth Proportional to 589.42, 884.56 and 553.56

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Solution

The fourth proportional to 589.42, 884.56 and 553.56 is: 830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.42 : 884.56 = 553.56 : x
  2. Step 2: Convert to fraction form
    589.42/884.56 = 553.56/x
  3. Step 3: Cross multiply
    589.42x = 884.56 × 553.56
  4. Step 4: Simplify right side
    589.42x = 489,657.03
  5. Step 5: Solve for x
    x = 489,657.03/589.42
  6. Step 6: Final answer
    x = 830.74

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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.