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Finding the Fourth Proportional to 468.50, 696.78 and 459.28

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Solution

The fourth proportional to 468.50, 696.78 and 459.28 is: 683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.50 : 696.78 = 459.28 : x
  2. Step 2: Convert to fraction form
    468.50/696.78 = 459.28/x
  3. Step 3: Cross multiply
    468.50x = 696.78 × 459.28
  4. Step 4: Simplify right side
    468.50x = 320,014.82
  5. Step 5: Solve for x
    x = 320,014.82/468.50
  6. Step 6: Final answer
    x = 683.06

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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.