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Finding the Fourth Proportional to 1,059.03, 1,460.36 and 902.09

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Solution

The fourth proportional to 1,059.03, 1,460.36 and 902.09 is: 1,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.03 : 1,460.36 = 902.09 : x
  2. Step 2: Convert to fraction form
    1,059.03/1,460.36 = 902.09/x
  3. Step 3: Cross multiply
    1,059.03x = 1,460.36 × 902.09
  4. Step 4: Simplify right side
    1,059.03x = 1,317,382.06
  5. Step 5: Solve for x
    x = 1,317,382.06/1,059.03
  6. Step 6: Final answer
    x = 1,243.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.