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Finding the Fourth Proportional to 799.48, 1,103.28 and 468

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Solution

The fourth proportional to 799.48, 1,103.28 and 468 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.48 : 1,103.28 = 468 : x
  2. Step 2: Convert to fraction form
    799.48/1,103.28 = 468/x
  3. Step 3: Cross multiply
    799.48x = 1,103.28 × 468
  4. Step 4: Simplify right side
    799.48x = 516,335.04
  5. Step 5: Solve for x
    x = 516,335.04/799.48
  6. Step 6: Final answer
    x = 645.84

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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.