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Finding the Fourth Proportional to 1,009.35, 1,513.85 and 268.97

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Solution

The fourth proportional to 1,009.35, 1,513.85 and 268.97 is: 403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.35 : 1,513.85 = 268.97 : x
  2. Step 2: Convert to fraction form
    1,009.35/1,513.85 = 268.97/x
  3. Step 3: Cross multiply
    1,009.35x = 1,513.85 × 268.97
  4. Step 4: Simplify right side
    1,009.35x = 407,180.23
  5. Step 5: Solve for x
    x = 407,180.23/1,009.35
  6. Step 6: Final answer
    x = 403.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.