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Finding the Fourth Proportional to 1,744.28, 2,407.20 and 958.40

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Solution

The fourth proportional to 1,744.28, 2,407.20 and 958.40 is: 1,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.28 : 2,407.20 = 958.40 : x
  2. Step 2: Convert to fraction form
    1,744.28/2,407.20 = 958.40/x
  3. Step 3: Cross multiply
    1,744.28x = 2,407.20 × 958.40
  4. Step 4: Simplify right side
    1,744.28x = 2,307,060.48
  5. Step 5: Solve for x
    x = 2,307,060.48/1,744.28
  6. Step 6: Final answer
    x = 1,322.64

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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.