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Finding the Fourth Proportional to 1,258.92, 1,735.29 and 855.02

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Solution

The fourth proportional to 1,258.92, 1,735.29 and 855.02 is: 1,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.92 : 1,735.29 = 855.02 : x
  2. Step 2: Convert to fraction form
    1,258.92/1,735.29 = 855.02/x
  3. Step 3: Cross multiply
    1,258.92x = 1,735.29 × 855.02
  4. Step 4: Simplify right side
    1,258.92x = 1,483,703.38
  5. Step 5: Solve for x
    x = 1,483,703.38/1,258.92
  6. Step 6: Final answer
    x = 1,178.55

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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.