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Finding the Fourth Proportional to 600.30, 828.80 and 490.04

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Solution

The fourth proportional to 600.30, 828.80 and 490.04 is: 676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 828.80 = 490.04 : x
  2. Step 2: Convert to fraction form
    600.30/828.80 = 490.04/x
  3. Step 3: Cross multiply
    600.30x = 828.80 × 490.04
  4. Step 4: Simplify right side
    600.30x = 406,145.15
  5. Step 5: Solve for x
    x = 406,145.15/600.30
  6. Step 6: Final answer
    x = 676.57

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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.