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Finding the Fourth Proportional to 450.42, 677.01 and 395.76

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Solution

The fourth proportional to 450.42, 677.01 and 395.76 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.42 : 677.01 = 395.76 : x
  2. Step 2: Convert to fraction form
    450.42/677.01 = 395.76/x
  3. Step 3: Cross multiply
    450.42x = 677.01 × 395.76
  4. Step 4: Simplify right side
    450.42x = 267,933.48
  5. Step 5: Solve for x
    x = 267,933.48/450.42
  6. Step 6: Final answer
    x = 594.85

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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.