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Finding the Fourth Proportional to 1,009.21, 1,513.32 and 454.09

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Solution

The fourth proportional to 1,009.21, 1,513.32 and 454.09 is: 680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.21 : 1,513.32 = 454.09 : x
  2. Step 2: Convert to fraction form
    1,009.21/1,513.32 = 454.09/x
  3. Step 3: Cross multiply
    1,009.21x = 1,513.32 × 454.09
  4. Step 4: Simplify right side
    1,009.21x = 687,183.48
  5. Step 5: Solve for x
    x = 687,183.48/1,009.21
  6. Step 6: Final answer
    x = 680.91

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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.