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Finding the Fourth Proportional to 432.19, 596.87 and 377.52

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Solution

The fourth proportional to 432.19, 596.87 and 377.52 is: 521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.19 : 596.87 = 377.52 : x
  2. Step 2: Convert to fraction form
    432.19/596.87 = 377.52/x
  3. Step 3: Cross multiply
    432.19x = 596.87 × 377.52
  4. Step 4: Simplify right side
    432.19x = 225,330.36
  5. Step 5: Solve for x
    x = 225,330.36/432.19
  6. Step 6: Final answer
    x = 521.37

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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.