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Finding the Fourth Proportional to 1,062.26, 1,591.94 and 905.28

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Solution

The fourth proportional to 1,062.26, 1,591.94 and 905.28 is: 1,356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.26 : 1,591.94 = 905.28 : x
  2. Step 2: Convert to fraction form
    1,062.26/1,591.94 = 905.28/x
  3. Step 3: Cross multiply
    1,062.26x = 1,591.94 × 905.28
  4. Step 4: Simplify right side
    1,062.26x = 1,441,142.64
  5. Step 5: Solve for x
    x = 1,441,142.64/1,062.26
  6. Step 6: Final answer
    x = 1,356.67

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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.