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Finding the Fourth Proportional to 435.54, 599.80 and 407.73

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Solution

The fourth proportional to 435.54, 599.80 and 407.73 is: 561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.54 : 599.80 = 407.73 : x
  2. Step 2: Convert to fraction form
    435.54/599.80 = 407.73/x
  3. Step 3: Cross multiply
    435.54x = 599.80 × 407.73
  4. Step 4: Simplify right side
    435.54x = 244,556.93
  5. Step 5: Solve for x
    x = 244,556.93/435.54
  6. Step 6: Final answer
    x = 561.51

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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.