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Finding the Fourth Proportional to 905.75, 1,359.38 and 646.38

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Solution

The fourth proportional to 905.75, 1,359.38 and 646.38 is: 970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.75 : 1,359.38 = 646.38 : x
  2. Step 2: Convert to fraction form
    905.75/1,359.38 = 646.38/x
  3. Step 3: Cross multiply
    905.75x = 1,359.38 × 646.38
  4. Step 4: Simplify right side
    905.75x = 878,672.81
  5. Step 5: Solve for x
    x = 878,672.81/905.75
  6. Step 6: Final answer
    x = 970.11

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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.