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Finding the Fourth Proportional to 949.83, 1,309.12 and 782.27

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Solution

The fourth proportional to 949.83, 1,309.12 and 782.27 is: 1,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.83 : 1,309.12 = 782.27 : x
  2. Step 2: Convert to fraction form
    949.83/1,309.12 = 782.27/x
  3. Step 3: Cross multiply
    949.83x = 1,309.12 × 782.27
  4. Step 4: Simplify right side
    949.83x = 1,024,089.05
  5. Step 5: Solve for x
    x = 1,024,089.05/949.83
  6. Step 6: Final answer
    x = 1,078.19

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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.