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Finding the Fourth Proportional to 1,248.43, 1,723.50 and 968.04

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Solution

The fourth proportional to 1,248.43, 1,723.50 and 968.04 is: 1,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.43 : 1,723.50 = 968.04 : x
  2. Step 2: Convert to fraction form
    1,248.43/1,723.50 = 968.04/x
  3. Step 3: Cross multiply
    1,248.43x = 1,723.50 × 968.04
  4. Step 4: Simplify right side
    1,248.43x = 1,668,403.48
  5. Step 5: Solve for x
    x = 1,668,403.48/1,248.43
  6. Step 6: Final answer
    x = 1,336.40

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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.