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Finding the Fourth Proportional to 485.89, 669.75 and 445.67

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Solution

The fourth proportional to 485.89, 669.75 and 445.67 is: 614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.89 : 669.75 = 445.67 : x
  2. Step 2: Convert to fraction form
    485.89/669.75 = 445.67/x
  3. Step 3: Cross multiply
    485.89x = 669.75 × 445.67
  4. Step 4: Simplify right side
    485.89x = 298,486.22
  5. Step 5: Solve for x
    x = 298,486.22/485.89
  6. Step 6: Final answer
    x = 614.31

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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.