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Finding the Fourth Proportional to 918.92, 1,268.11 and 499.27

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Solution

The fourth proportional to 918.92, 1,268.11 and 499.27 is: 688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.92 : 1,268.11 = 499.27 : x
  2. Step 2: Convert to fraction form
    918.92/1,268.11 = 499.27/x
  3. Step 3: Cross multiply
    918.92x = 1,268.11 × 499.27
  4. Step 4: Simplify right side
    918.92x = 633,129.28
  5. Step 5: Solve for x
    x = 633,129.28/918.92
  6. Step 6: Final answer
    x = 688.99

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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.