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Finding the Fourth Proportional to 552.28, 762 and 345.32

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Solution

The fourth proportional to 552.28, 762 and 345.32 is: 476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.28 : 762 = 345.32 : x
  2. Step 2: Convert to fraction form
    552.28/762 = 345.32/x
  3. Step 3: Cross multiply
    552.28x = 762 × 345.32
  4. Step 4: Simplify right side
    552.28x = 263,133.84
  5. Step 5: Solve for x
    x = 263,133.84/552.28
  6. Step 6: Final answer
    x = 476.45

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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.