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Finding the Fourth Proportional to 1,257.63, 1,735.41 and 785.57

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Solution

The fourth proportional to 1,257.63, 1,735.41 and 785.57 is: 1,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.63 : 1,735.41 = 785.57 : x
  2. Step 2: Convert to fraction form
    1,257.63/1,735.41 = 785.57/x
  3. Step 3: Cross multiply
    1,257.63x = 1,735.41 × 785.57
  4. Step 4: Simplify right side
    1,257.63x = 1,363,275.88
  5. Step 5: Solve for x
    x = 1,363,275.88/1,257.63
  6. Step 6: Final answer
    x = 1,084.01

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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.