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Finding the Fourth Proportional to 493.74, 678.92 and 431.60

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Solution

The fourth proportional to 493.74, 678.92 and 431.60 is: 593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.74 : 678.92 = 431.60 : x
  2. Step 2: Convert to fraction form
    493.74/678.92 = 431.60/x
  3. Step 3: Cross multiply
    493.74x = 678.92 × 431.60
  4. Step 4: Simplify right side
    493.74x = 293,016.32
  5. Step 5: Solve for x
    x = 293,016.32/493.74
  6. Step 6: Final answer
    x = 593.46

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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.