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Finding the Fourth Proportional to 429.44, 645.08 and 409.86

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Solution

The fourth proportional to 429.44, 645.08 and 409.86 is: 615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.44 : 645.08 = 409.86 : x
  2. Step 2: Convert to fraction form
    429.44/645.08 = 409.86/x
  3. Step 3: Cross multiply
    429.44x = 645.08 × 409.86
  4. Step 4: Simplify right side
    429.44x = 264,390.44
  5. Step 5: Solve for x
    x = 264,390.44/429.44
  6. Step 6: Final answer
    x = 615.67

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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.