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Finding the Fourth Proportional to 468.99, 699.23 and 427.53

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Solution

The fourth proportional to 468.99, 699.23 and 427.53 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.99 : 699.23 = 427.53 : x
  2. Step 2: Convert to fraction form
    468.99/699.23 = 427.53/x
  3. Step 3: Cross multiply
    468.99x = 699.23 × 427.53
  4. Step 4: Simplify right side
    468.99x = 298,941.56
  5. Step 5: Solve for x
    x = 298,941.56/468.99
  6. Step 6: Final answer
    x = 637.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.