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Finding the Fourth Proportional to 1,009.42, 1,513.96 and 269.04

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Solution

The fourth proportional to 1,009.42, 1,513.96 and 269.04 is: 403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.42 : 1,513.96 = 269.04 : x
  2. Step 2: Convert to fraction form
    1,009.42/1,513.96 = 269.04/x
  3. Step 3: Cross multiply
    1,009.42x = 1,513.96 × 269.04
  4. Step 4: Simplify right side
    1,009.42x = 407,315.80
  5. Step 5: Solve for x
    x = 407,315.80/1,009.42
  6. Step 6: Final answer
    x = 403.51

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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.