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Finding the Fourth Proportional to 1,257.16, 1,735.20 and 865.24

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Solution

The fourth proportional to 1,257.16, 1,735.20 and 865.24 is: 1,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.16 : 1,735.20 = 865.24 : x
  2. Step 2: Convert to fraction form
    1,257.16/1,735.20 = 865.24/x
  3. Step 3: Cross multiply
    1,257.16x = 1,735.20 × 865.24
  4. Step 4: Simplify right side
    1,257.16x = 1,501,364.45
  5. Step 5: Solve for x
    x = 1,501,364.45/1,257.16
  6. Step 6: Final answer
    x = 1,194.25

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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.