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Finding the Fourth Proportional to 432.00, 599.21 and 416.43

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Solution

The fourth proportional to 432.00, 599.21 and 416.43 is: 577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.00 : 599.21 = 416.43 : x
  2. Step 2: Convert to fraction form
    432.00/599.21 = 416.43/x
  3. Step 3: Cross multiply
    432.00x = 599.21 × 416.43
  4. Step 4: Simplify right side
    432.00x = 249,525.44
  5. Step 5: Solve for x
    x = 249,525.44/432.00
  6. Step 6: Final answer
    x = 577.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.