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Finding the Fourth Proportional to 1,298.15, 1,947.22 and 386.15

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Solution

The fourth proportional to 1,298.15, 1,947.22 and 386.15 is: 579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.15 : 1,947.22 = 386.15 : x
  2. Step 2: Convert to fraction form
    1,298.15/1,947.22 = 386.15/x
  3. Step 3: Cross multiply
    1,298.15x = 1,947.22 × 386.15
  4. Step 4: Simplify right side
    1,298.15x = 751,917.53
  5. Step 5: Solve for x
    x = 751,917.53/1,298.15
  6. Step 6: Final answer
    x = 579.22

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.