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Finding the Fourth Proportional to 450.18, 673.90 and 435.14

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Solution

The fourth proportional to 450.18, 673.90 and 435.14 is: 651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.18 : 673.90 = 435.14 : x
  2. Step 2: Convert to fraction form
    450.18/673.90 = 435.14/x
  3. Step 3: Cross multiply
    450.18x = 673.90 × 435.14
  4. Step 4: Simplify right side
    450.18x = 293,245.15
  5. Step 5: Solve for x
    x = 293,245.15/450.18
  6. Step 6: Final answer
    x = 651.40

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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.