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Finding the Fourth Proportional to 536.88, 806 and 446.68

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Solution

The fourth proportional to 536.88, 806 and 446.68 is: 670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.88 : 806 = 446.68 : x
  2. Step 2: Convert to fraction form
    536.88/806 = 446.68/x
  3. Step 3: Cross multiply
    536.88x = 806 × 446.68
  4. Step 4: Simplify right side
    536.88x = 360,024.08
  5. Step 5: Solve for x
    x = 360,024.08/536.88
  6. Step 6: Final answer
    x = 670.59

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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.