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Finding the Fourth Proportional to 1,258.25, 1,738.22 and 928.50

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Solution

The fourth proportional to 1,258.25, 1,738.22 and 928.50 is: 1,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.25 : 1,738.22 = 928.50 : x
  2. Step 2: Convert to fraction form
    1,258.25/1,738.22 = 928.50/x
  3. Step 3: Cross multiply
    1,258.25x = 1,738.22 × 928.50
  4. Step 4: Simplify right side
    1,258.25x = 1,613,931.33
  5. Step 5: Solve for x
    x = 1,613,931.33/1,258.25
  6. Step 6: Final answer
    x = 1,282.68

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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.