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Finding the Fourth Proportional to 1,096.27, 1,644.64 and 316.40

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Solution

The fourth proportional to 1,096.27, 1,644.64 and 316.40 is: 474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.27 : 1,644.64 = 316.40 : x
  2. Step 2: Convert to fraction form
    1,096.27/1,644.64 = 316.40/x
  3. Step 3: Cross multiply
    1,096.27x = 1,644.64 × 316.40
  4. Step 4: Simplify right side
    1,096.27x = 520,354.29
  5. Step 5: Solve for x
    x = 520,354.29/1,096.27
  6. Step 6: Final answer
    x = 474.66

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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.