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Finding the Fourth Proportional to 493.36, 680.47 and 427.75

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Solution

The fourth proportional to 493.36, 680.47 and 427.75 is: 589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.36 : 680.47 = 427.75 : x
  2. Step 2: Convert to fraction form
    493.36/680.47 = 427.75/x
  3. Step 3: Cross multiply
    493.36x = 680.47 × 427.75
  4. Step 4: Simplify right side
    493.36x = 291,071.04
  5. Step 5: Solve for x
    x = 291,071.04/493.36
  6. Step 6: Final answer
    x = 589.98

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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.