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Finding the Fourth Proportional to 448.42, 669.35 and 396.58

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Solution

The fourth proportional to 448.42, 669.35 and 396.58 is: 591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.42 : 669.35 = 396.58 : x
  2. Step 2: Convert to fraction form
    448.42/669.35 = 396.58/x
  3. Step 3: Cross multiply
    448.42x = 669.35 × 396.58
  4. Step 4: Simplify right side
    448.42x = 265,448.84
  5. Step 5: Solve for x
    x = 265,448.84/448.42
  6. Step 6: Final answer
    x = 591.96

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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.