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Finding the Fourth Proportional to 534.04, 799.50 and 451.78

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Solution

The fourth proportional to 534.04, 799.50 and 451.78 is: 676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.04 : 799.50 = 451.78 : x
  2. Step 2: Convert to fraction form
    534.04/799.50 = 451.78/x
  3. Step 3: Cross multiply
    534.04x = 799.50 × 451.78
  4. Step 4: Simplify right side
    534.04x = 361,197.81
  5. Step 5: Solve for x
    x = 361,197.81/534.04
  6. Step 6: Final answer
    x = 676.35

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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.