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Finding the Fourth Proportional to 448.58, 672.64 and 294.59

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Solution

The fourth proportional to 448.58, 672.64 and 294.59 is: 441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.58 : 672.64 = 294.59 : x
  2. Step 2: Convert to fraction form
    448.58/672.64 = 294.59/x
  3. Step 3: Cross multiply
    448.58x = 672.64 × 294.59
  4. Step 4: Simplify right side
    448.58x = 198,153.96
  5. Step 5: Solve for x
    x = 198,153.96/448.58
  6. Step 6: Final answer
    x = 441.73

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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.