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Finding the Fourth Proportional to 1,247, 1,719.87 and 968.08

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Solution

The fourth proportional to 1,247, 1,719.87 and 968.08 is: 1,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247 : 1,719.87 = 968.08 : x
  2. Step 2: Convert to fraction form
    1,247/1,719.87 = 968.08/x
  3. Step 3: Cross multiply
    1,247x = 1,719.87 × 968.08
  4. Step 4: Simplify right side
    1,247x = 1,664,971.75
  5. Step 5: Solve for x
    x = 1,664,971.75/1,247
  6. Step 6: Final answer
    x = 1,335.18

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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.