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Finding the Fourth Proportional to 537.40, 803.03 and 451

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Solution

The fourth proportional to 537.40, 803.03 and 451 is: 673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.40 : 803.03 = 451 : x
  2. Step 2: Convert to fraction form
    537.40/803.03 = 451/x
  3. Step 3: Cross multiply
    537.40x = 803.03 × 451
  4. Step 4: Simplify right side
    537.40x = 362,166.53
  5. Step 5: Solve for x
    x = 362,166.53/537.40
  6. Step 6: Final answer
    x = 673.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.