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Finding the Fourth Proportional to 448.68, 672.27 and 431.82

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Solution

The fourth proportional to 448.68, 672.27 and 431.82 is: 647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.68 : 672.27 = 431.82 : x
  2. Step 2: Convert to fraction form
    448.68/672.27 = 431.82/x
  3. Step 3: Cross multiply
    448.68x = 672.27 × 431.82
  4. Step 4: Simplify right side
    448.68x = 290,299.63
  5. Step 5: Solve for x
    x = 290,299.63/448.68
  6. Step 6: Final answer
    x = 647.01

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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.