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Finding the Fourth Proportional to 948.91, 1,309.77 and 556.09

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Solution

The fourth proportional to 948.91, 1,309.77 and 556.09 is: 767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.91 : 1,309.77 = 556.09 : x
  2. Step 2: Convert to fraction form
    948.91/1,309.77 = 556.09/x
  3. Step 3: Cross multiply
    948.91x = 1,309.77 × 556.09
  4. Step 4: Simplify right side
    948.91x = 728,350.00
  5. Step 5: Solve for x
    x = 728,350.00/948.91
  6. Step 6: Final answer
    x = 767.56

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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.