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Finding the Fourth Proportional to 537.41, 805.13 and 451.29

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Solution

The fourth proportional to 537.41, 805.13 and 451.29 is: 676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.41 : 805.13 = 451.29 : x
  2. Step 2: Convert to fraction form
    537.41/805.13 = 451.29/x
  3. Step 3: Cross multiply
    537.41x = 805.13 × 451.29
  4. Step 4: Simplify right side
    537.41x = 363,344.86
  5. Step 5: Solve for x
    x = 363,344.86/537.41
  6. Step 6: Final answer
    x = 676.11

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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.