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Finding the Fourth Proportional to 948.71, 1,308.89 and 550.19

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Solution

The fourth proportional to 948.71, 1,308.89 and 550.19 is: 759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.71 : 1,308.89 = 550.19 : x
  2. Step 2: Convert to fraction form
    948.71/1,308.89 = 550.19/x
  3. Step 3: Cross multiply
    948.71x = 1,308.89 × 550.19
  4. Step 4: Simplify right side
    948.71x = 720,142.84
  5. Step 5: Solve for x
    x = 720,142.84/948.71
  6. Step 6: Final answer
    x = 759.07

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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.