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Finding the Fourth Proportional to 680.44, 939.40 and 431.98

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Solution

The fourth proportional to 680.44, 939.40 and 431.98 is: 596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.44 : 939.40 = 431.98 : x
  2. Step 2: Convert to fraction form
    680.44/939.40 = 431.98/x
  3. Step 3: Cross multiply
    680.44x = 939.40 × 431.98
  4. Step 4: Simplify right side
    680.44x = 405,802.01
  5. Step 5: Solve for x
    x = 405,802.01/680.44
  6. Step 6: Final answer
    x = 596.38

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1.5x scale

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.