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Finding the Fourth Proportional to 1,300.35, 1,949.17 and 832.15

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Solution

The fourth proportional to 1,300.35, 1,949.17 and 832.15 is: 1,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.35 : 1,949.17 = 832.15 : x
  2. Step 2: Convert to fraction form
    1,300.35/1,949.17 = 832.15/x
  3. Step 3: Cross multiply
    1,300.35x = 1,949.17 × 832.15
  4. Step 4: Simplify right side
    1,300.35x = 1,621,998.52
  5. Step 5: Solve for x
    x = 1,621,998.52/1,300.35
  6. Step 6: Final answer
    x = 1,247.36

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