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Finding the Fourth Proportional to 955.73, 1,319.54 and 734.28

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Solution

The fourth proportional to 955.73, 1,319.54 and 734.28 is: 1,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.73 : 1,319.54 = 734.28 : x
  2. Step 2: Convert to fraction form
    955.73/1,319.54 = 734.28/x
  3. Step 3: Cross multiply
    955.73x = 1,319.54 × 734.28
  4. Step 4: Simplify right side
    955.73x = 968,908.16
  5. Step 5: Solve for x
    x = 968,908.16/955.73
  6. Step 6: Final answer
    x = 1,013.79

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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.