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Finding the Fourth Proportional to 784.64, 1,082.48 and 548.62

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Solution

The fourth proportional to 784.64, 1,082.48 and 548.62 is: 756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.64 : 1,082.48 = 548.62 : x
  2. Step 2: Convert to fraction form
    784.64/1,082.48 = 548.62/x
  3. Step 3: Cross multiply
    784.64x = 1,082.48 × 548.62
  4. Step 4: Simplify right side
    784.64x = 593,864.73
  5. Step 5: Solve for x
    x = 593,864.73/784.64
  6. Step 6: Final answer
    x = 756.86

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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.