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Finding the Fourth Proportional to 1,258.03, 1,735.68 and 760.51

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Solution

The fourth proportional to 1,258.03, 1,735.68 and 760.51 is: 1,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.03 : 1,735.68 = 760.51 : x
  2. Step 2: Convert to fraction form
    1,258.03/1,735.68 = 760.51/x
  3. Step 3: Cross multiply
    1,258.03x = 1,735.68 × 760.51
  4. Step 4: Simplify right side
    1,258.03x = 1,320,002.00
  5. Step 5: Solve for x
    x = 1,320,002.00/1,258.03
  6. Step 6: Final answer
    x = 1,049.26

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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.