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Finding the Fourth Proportional to 600.14, 828.02 and 378.98

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Solution

The fourth proportional to 600.14, 828.02 and 378.98 is: 522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.14 : 828.02 = 378.98 : x
  2. Step 2: Convert to fraction form
    600.14/828.02 = 378.98/x
  3. Step 3: Cross multiply
    600.14x = 828.02 × 378.98
  4. Step 4: Simplify right side
    600.14x = 313,803.02
  5. Step 5: Solve for x
    x = 313,803.02/600.14
  6. Step 6: Final answer
    x = 522.88

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1.5x scale

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.