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Finding the Fourth Proportional to 1,313.38, 1,967.72 and 687.88

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Solution

The fourth proportional to 1,313.38, 1,967.72 and 687.88 is: 1,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.38 : 1,967.72 = 687.88 : x
  2. Step 2: Convert to fraction form
    1,313.38/1,967.72 = 687.88/x
  3. Step 3: Cross multiply
    1,313.38x = 1,967.72 × 687.88
  4. Step 4: Simplify right side
    1,313.38x = 1,353,546.87
  5. Step 5: Solve for x
    x = 1,353,546.87/1,313.38
  6. Step 6: Final answer
    x = 1,030.58

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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.