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Finding the Fourth Proportional to 892.81, 1,336.80 and 646.27

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Solution

The fourth proportional to 892.81, 1,336.80 and 646.27 is: 967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.81 : 1,336.80 = 646.27 : x
  2. Step 2: Convert to fraction form
    892.81/1,336.80 = 646.27/x
  3. Step 3: Cross multiply
    892.81x = 1,336.80 × 646.27
  4. Step 4: Simplify right side
    892.81x = 863,933.74
  5. Step 5: Solve for x
    x = 863,933.74/892.81
  6. Step 6: Final answer
    x = 967.66

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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.