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Finding the Fourth Proportional to 589, 883.86 and 345.64

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Solution

The fourth proportional to 589, 883.86 and 345.64 is: 518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 883.86 = 345.64 : x
  2. Step 2: Convert to fraction form
    589/883.86 = 345.64/x
  3. Step 3: Cross multiply
    589x = 883.86 × 345.64
  4. Step 4: Simplify right side
    589x = 305,497.37
  5. Step 5: Solve for x
    x = 305,497.37/589
  6. Step 6: Final answer
    x = 518.67

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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.