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Finding the Fourth Proportional to 595.74, 891.97 and 449.05

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Solution

The fourth proportional to 595.74, 891.97 and 449.05 is: 672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.74 : 891.97 = 449.05 : x
  2. Step 2: Convert to fraction form
    595.74/891.97 = 449.05/x
  3. Step 3: Cross multiply
    595.74x = 891.97 × 449.05
  4. Step 4: Simplify right side
    595.74x = 400,537.44
  5. Step 5: Solve for x
    x = 400,537.44/595.74
  6. Step 6: Final answer
    x = 672.33

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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.