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Finding the Fourth Proportional to 948.62, 1,309.01 and 550.01

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Solution

The fourth proportional to 948.62, 1,309.01 and 550.01 is: 758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.62 : 1,309.01 = 550.01 : x
  2. Step 2: Convert to fraction form
    948.62/1,309.01 = 550.01/x
  3. Step 3: Cross multiply
    948.62x = 1,309.01 × 550.01
  4. Step 4: Simplify right side
    948.62x = 719,969.11
  5. Step 5: Solve for x
    x = 719,969.11/948.62
  6. Step 6: Final answer
    x = 758.96

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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.