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Finding the Fourth Proportional to 446.04, 669.19 and 397.63

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Solution

The fourth proportional to 446.04, 669.19 and 397.63 is: 596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.04 : 669.19 = 397.63 : x
  2. Step 2: Convert to fraction form
    446.04/669.19 = 397.63/x
  3. Step 3: Cross multiply
    446.04x = 669.19 × 397.63
  4. Step 4: Simplify right side
    446.04x = 266,090.02
  5. Step 5: Solve for x
    x = 266,090.02/446.04
  6. Step 6: Final answer
    x = 596.56

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1.5x scale

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.