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Finding the Fourth Proportional to 881.16, 1,216.55 and 550.07

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Solution

The fourth proportional to 881.16, 1,216.55 and 550.07 is: 759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.16 : 1,216.55 = 550.07 : x
  2. Step 2: Convert to fraction form
    881.16/1,216.55 = 550.07/x
  3. Step 3: Cross multiply
    881.16x = 1,216.55 × 550.07
  4. Step 4: Simplify right side
    881.16x = 669,187.51
  5. Step 5: Solve for x
    x = 669,187.51/881.16
  6. Step 6: Final answer
    x = 759.44

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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.