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Finding the Fourth Proportional to 466.56, 698.79 and 328.71

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Solution

The fourth proportional to 466.56, 698.79 and 328.71 is: 492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.56 : 698.79 = 328.71 : x
  2. Step 2: Convert to fraction form
    466.56/698.79 = 328.71/x
  3. Step 3: Cross multiply
    466.56x = 698.79 × 328.71
  4. Step 4: Simplify right side
    466.56x = 229,699.26
  5. Step 5: Solve for x
    x = 229,699.26/466.56
  6. Step 6: Final answer
    x = 492.33

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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.