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Finding the Fourth Proportional to 432.44, 596.40 and 389.24

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Solution

The fourth proportional to 432.44, 596.40 and 389.24 is: 536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.44 : 596.40 = 389.24 : x
  2. Step 2: Convert to fraction form
    432.44/596.40 = 389.24/x
  3. Step 3: Cross multiply
    432.44x = 596.40 × 389.24
  4. Step 4: Simplify right side
    432.44x = 232,142.74
  5. Step 5: Solve for x
    x = 232,142.74/432.44
  6. Step 6: Final answer
    x = 536.82

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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.