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Finding the Fourth Proportional to 494.19, 680.27 and 433.98

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Solution

The fourth proportional to 494.19, 680.27 and 433.98 is: 597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.19 : 680.27 = 433.98 : x
  2. Step 2: Convert to fraction form
    494.19/680.27 = 433.98/x
  3. Step 3: Cross multiply
    494.19x = 680.27 × 433.98
  4. Step 4: Simplify right side
    494.19x = 295,221.40
  5. Step 5: Solve for x
    x = 295,221.40/494.19
  6. Step 6: Final answer
    x = 597.38

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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.