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Finding the Fourth Proportional to 1,313, 1,969.56 and 423.60

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Solution

The fourth proportional to 1,313, 1,969.56 and 423.60 is: 635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313 : 1,969.56 = 423.60 : x
  2. Step 2: Convert to fraction form
    1,313/1,969.56 = 423.60/x
  3. Step 3: Cross multiply
    1,313x = 1,969.56 × 423.60
  4. Step 4: Simplify right side
    1,313x = 834,305.62
  5. Step 5: Solve for x
    x = 834,305.62/1,313
  6. Step 6: Final answer
    x = 635.42

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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.