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Finding the Fourth Proportional to 599.54, 828.43 and 469.53

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Solution

The fourth proportional to 599.54, 828.43 and 469.53 is: 648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.54 : 828.43 = 469.53 : x
  2. Step 2: Convert to fraction form
    599.54/828.43 = 469.53/x
  3. Step 3: Cross multiply
    599.54x = 828.43 × 469.53
  4. Step 4: Simplify right side
    599.54x = 388,971.56
  5. Step 5: Solve for x
    x = 388,971.56/599.54
  6. Step 6: Final answer
    x = 648.79

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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.