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Finding the Fourth Proportional to 432.12, 599.38 and 416.55

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Solution

The fourth proportional to 432.12, 599.38 and 416.55 is: 577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.12 : 599.38 = 416.55 : x
  2. Step 2: Convert to fraction form
    432.12/599.38 = 416.55/x
  3. Step 3: Cross multiply
    432.12x = 599.38 × 416.55
  4. Step 4: Simplify right side
    432.12x = 249,673.24
  5. Step 5: Solve for x
    x = 249,673.24/432.12
  6. Step 6: Final answer
    x = 577.79

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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.