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Finding the Fourth Proportional to 537.80, 804.30 and 451.40

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Solution

The fourth proportional to 537.80, 804.30 and 451.40 is: 675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 804.30 = 451.40 : x
  2. Step 2: Convert to fraction form
    537.80/804.30 = 451.40/x
  3. Step 3: Cross multiply
    537.80x = 804.30 × 451.40
  4. Step 4: Simplify right side
    537.80x = 363,061.02
  5. Step 5: Solve for x
    x = 363,061.02/537.80
  6. Step 6: Final answer
    x = 675.09

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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.