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Finding the Fourth Proportional to 1,257.65, 1,735.64 and 760.31

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Solution

The fourth proportional to 1,257.65, 1,735.64 and 760.31 is: 1,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.65 : 1,735.64 = 760.31 : x
  2. Step 2: Convert to fraction form
    1,257.65/1,735.64 = 760.31/x
  3. Step 3: Cross multiply
    1,257.65x = 1,735.64 × 760.31
  4. Step 4: Simplify right side
    1,257.65x = 1,319,621.33
  5. Step 5: Solve for x
    x = 1,319,621.33/1,257.65
  6. Step 6: Final answer
    x = 1,049.28

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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.