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Finding the Fourth Proportional to 432.97, 597.31 and 383.63

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Solution

The fourth proportional to 432.97, 597.31 and 383.63 is: 529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.97 : 597.31 = 383.63 : x
  2. Step 2: Convert to fraction form
    432.97/597.31 = 383.63/x
  3. Step 3: Cross multiply
    432.97x = 597.31 × 383.63
  4. Step 4: Simplify right side
    432.97x = 229,142.09
  5. Step 5: Solve for x
    x = 229,142.09/432.97
  6. Step 6: Final answer
    x = 529.24

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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.