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Finding the Fourth Proportional to 454.84, 626.10 and 344.12

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Solution

The fourth proportional to 454.84, 626.10 and 344.12 is: 473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.84 : 626.10 = 344.12 : x
  2. Step 2: Convert to fraction form
    454.84/626.10 = 344.12/x
  3. Step 3: Cross multiply
    454.84x = 626.10 × 344.12
  4. Step 4: Simplify right side
    454.84x = 215,453.53
  5. Step 5: Solve for x
    x = 215,453.53/454.84
  6. Step 6: Final answer
    x = 473.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.