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Finding the Fourth Proportional to 451.76, 626.84 and 433.48

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Solution

The fourth proportional to 451.76, 626.84 and 433.48 is: 601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.76 : 626.84 = 433.48 : x
  2. Step 2: Convert to fraction form
    451.76/626.84 = 433.48/x
  3. Step 3: Cross multiply
    451.76x = 626.84 × 433.48
  4. Step 4: Simplify right side
    451.76x = 271,722.60
  5. Step 5: Solve for x
    x = 271,722.60/451.76
  6. Step 6: Final answer
    x = 601.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.