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Finding the Fourth Proportional to 678.28, 933.78 and 606.76

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Solution

The fourth proportional to 678.28, 933.78 and 606.76 is: 835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.28 : 933.78 = 606.76 : x
  2. Step 2: Convert to fraction form
    678.28/933.78 = 606.76/x
  3. Step 3: Cross multiply
    678.28x = 933.78 × 606.76
  4. Step 4: Simplify right side
    678.28x = 566,580.35
  5. Step 5: Solve for x
    x = 566,580.35/678.28
  6. Step 6: Final answer
    x = 835.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.