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Finding the Fourth Proportional to 450.81, 677.29 and 288.81

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Solution

The fourth proportional to 450.81, 677.29 and 288.81 is: 433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.81 : 677.29 = 288.81 : x
  2. Step 2: Convert to fraction form
    450.81/677.29 = 288.81/x
  3. Step 3: Cross multiply
    450.81x = 677.29 × 288.81
  4. Step 4: Simplify right side
    450.81x = 195,604.02
  5. Step 5: Solve for x
    x = 195,604.02/450.81
  6. Step 6: Final answer
    x = 433.90

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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.