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Finding the Fourth Proportional to 1,256.56, 1,734.07 and 784.65

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Solution

The fourth proportional to 1,256.56, 1,734.07 and 784.65 is: 1,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.56 : 1,734.07 = 784.65 : x
  2. Step 2: Convert to fraction form
    1,256.56/1,734.07 = 784.65/x
  3. Step 3: Cross multiply
    1,256.56x = 1,734.07 × 784.65
  4. Step 4: Simplify right side
    1,256.56x = 1,360,638.03
  5. Step 5: Solve for x
    x = 1,360,638.03/1,256.56
  6. Step 6: Final answer
    x = 1,082.83

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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.