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Finding the Fourth Proportional to 1,256.24, 1,733.70 and 725.09

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Solution

The fourth proportional to 1,256.24, 1,733.70 and 725.09 is: 1,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.24 : 1,733.70 = 725.09 : x
  2. Step 2: Convert to fraction form
    1,256.24/1,733.70 = 725.09/x
  3. Step 3: Cross multiply
    1,256.24x = 1,733.70 × 725.09
  4. Step 4: Simplify right side
    1,256.24x = 1,257,082.58
  5. Step 5: Solve for x
    x = 1,257,082.58/1,256.24
  6. Step 6: Final answer
    x = 1,000.67

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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.