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Finding the Fourth Proportional to 494.99, 682.88 and 432.82

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Solution

The fourth proportional to 494.99, 682.88 and 432.82 is: 597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.99 : 682.88 = 432.82 : x
  2. Step 2: Convert to fraction form
    494.99/682.88 = 432.82/x
  3. Step 3: Cross multiply
    494.99x = 682.88 × 432.82
  4. Step 4: Simplify right side
    494.99x = 295,563.50
  5. Step 5: Solve for x
    x = 295,563.50/494.99
  6. Step 6: Final answer
    x = 597.12

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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.