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Finding the Fourth Proportional to 589.60, 809.99 and 528.22

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Solution

The fourth proportional to 589.60, 809.99 and 528.22 is: 725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.60 : 809.99 = 528.22 : x
  2. Step 2: Convert to fraction form
    589.60/809.99 = 528.22/x
  3. Step 3: Cross multiply
    589.60x = 809.99 × 528.22
  4. Step 4: Simplify right side
    589.60x = 427,852.92
  5. Step 5: Solve for x
    x = 427,852.92/589.60
  6. Step 6: Final answer
    x = 725.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.