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Finding the Fourth Proportional to 496.76, 685.58 and 427.05

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Solution

The fourth proportional to 496.76, 685.58 and 427.05 is: 589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.76 : 685.58 = 427.05 : x
  2. Step 2: Convert to fraction form
    496.76/685.58 = 427.05/x
  3. Step 3: Cross multiply
    496.76x = 685.58 × 427.05
  4. Step 4: Simplify right side
    496.76x = 292,774.80
  5. Step 5: Solve for x
    x = 292,774.80/496.76
  6. Step 6: Final answer
    x = 589.37

Related Problems

Find fourth proportional to 248.38, 342.79 and 213.53
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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.