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Finding the Fourth Proportional to 449.04, 669.69 and 405.30

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Solution

The fourth proportional to 449.04, 669.69 and 405.30 is: 604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.04 : 669.69 = 405.30 : x
  2. Step 2: Convert to fraction form
    449.04/669.69 = 405.30/x
  3. Step 3: Cross multiply
    449.04x = 669.69 × 405.30
  4. Step 4: Simplify right side
    449.04x = 271,429.01
  5. Step 5: Solve for x
    x = 271,429.01/449.04
  6. Step 6: Final answer
    x = 604.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.