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Finding the Fourth Proportional to 1,258.96, 1,736.76 and 978.70

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Solution

The fourth proportional to 1,258.96, 1,736.76 and 978.70 is: 1,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.96 : 1,736.76 = 978.70 : x
  2. Step 2: Convert to fraction form
    1,258.96/1,736.76 = 978.70/x
  3. Step 3: Cross multiply
    1,258.96x = 1,736.76 × 978.70
  4. Step 4: Simplify right side
    1,258.96x = 1,699,767.01
  5. Step 5: Solve for x
    x = 1,699,767.01/1,258.96
  6. Step 6: Final answer
    x = 1,350.14

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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.