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Finding the Fourth Proportional to 662.32, 914.88 and 552.16

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Solution

The fourth proportional to 662.32, 914.88 and 552.16 is: 762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.32 : 914.88 = 552.16 : x
  2. Step 2: Convert to fraction form
    662.32/914.88 = 552.16/x
  3. Step 3: Cross multiply
    662.32x = 914.88 × 552.16
  4. Step 4: Simplify right side
    662.32x = 505,160.14
  5. Step 5: Solve for x
    x = 505,160.14/662.32
  6. Step 6: Final answer
    x = 762.71

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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.