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Finding the Fourth Proportional to 465.28, 696.96 and 459.52

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Solution

The fourth proportional to 465.28, 696.96 and 459.52 is: 688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.28 : 696.96 = 459.52 : x
  2. Step 2: Convert to fraction form
    465.28/696.96 = 459.52/x
  3. Step 3: Cross multiply
    465.28x = 696.96 × 459.52
  4. Step 4: Simplify right side
    465.28x = 320,267.06
  5. Step 5: Solve for x
    x = 320,267.06/465.28
  6. Step 6: Final answer
    x = 688.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.