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Finding the Fourth Proportional to 918.91, 1,268.10 and 499.27

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Solution

The fourth proportional to 918.91, 1,268.10 and 499.27 is: 688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.91 : 1,268.10 = 499.27 : x
  2. Step 2: Convert to fraction form
    918.91/1,268.10 = 499.27/x
  3. Step 3: Cross multiply
    918.91x = 1,268.10 × 499.27
  4. Step 4: Simplify right side
    918.91x = 633,124.29
  5. Step 5: Solve for x
    x = 633,124.29/918.91
  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.