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Finding the Fourth Proportional to 684.98, 945.70 and 445.94

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Solution

The fourth proportional to 684.98, 945.70 and 445.94 is: 615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.98 : 945.70 = 445.94 : x
  2. Step 2: Convert to fraction form
    684.98/945.70 = 445.94/x
  3. Step 3: Cross multiply
    684.98x = 945.70 × 445.94
  4. Step 4: Simplify right side
    684.98x = 421,723.16
  5. Step 5: Solve for x
    x = 421,723.16/684.98
  6. Step 6: Final answer
    x = 615.67

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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.