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Finding the Fourth Proportional to 578.64, 799.62 and 468.69

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Solution

The fourth proportional to 578.64, 799.62 and 468.69 is: 647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.64 : 799.62 = 468.69 : x
  2. Step 2: Convert to fraction form
    578.64/799.62 = 468.69/x
  3. Step 3: Cross multiply
    578.64x = 799.62 × 468.69
  4. Step 4: Simplify right side
    578.64x = 374,771.78
  5. Step 5: Solve for x
    x = 374,771.78/578.64
  6. Step 6: Final answer
    x = 647.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.