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Finding the Fourth Proportional to 451.98, 677.03 and 287.37

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Solution

The fourth proportional to 451.98, 677.03 and 287.37 is: 430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.98 : 677.03 = 287.37 : x
  2. Step 2: Convert to fraction form
    451.98/677.03 = 287.37/x
  3. Step 3: Cross multiply
    451.98x = 677.03 × 287.37
  4. Step 4: Simplify right side
    451.98x = 194,558.11
  5. Step 5: Solve for x
    x = 194,558.11/451.98
  6. Step 6: Final answer
    x = 430.46

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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.