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Finding the Fourth Proportional to 913.09, 1,260.08 and 499.09

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Solution

The fourth proportional to 913.09, 1,260.08 and 499.09 is: 688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.09 : 1,260.08 = 499.09 : x
  2. Step 2: Convert to fraction form
    913.09/1,260.08 = 499.09/x
  3. Step 3: Cross multiply
    913.09x = 1,260.08 × 499.09
  4. Step 4: Simplify right side
    913.09x = 628,890.83
  5. Step 5: Solve for x
    x = 628,890.83/913.09
  6. Step 6: Final answer
    x = 688.75

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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.