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Finding the Fourth Proportional to 432.99, 597.16 and 376.83

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Solution

The fourth proportional to 432.99, 597.16 and 376.83 is: 519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.99 : 597.16 = 376.83 : x
  2. Step 2: Convert to fraction form
    432.99/597.16 = 376.83/x
  3. Step 3: Cross multiply
    432.99x = 597.16 × 376.83
  4. Step 4: Simplify right side
    432.99x = 225,027.80
  5. Step 5: Solve for x
    x = 225,027.80/432.99
  6. Step 6: Final answer
    x = 519.71

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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.