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Finding the Fourth Proportional to 434.28, 654.69 and 399.72

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Solution

The fourth proportional to 434.28, 654.69 and 399.72 is: 602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.28 : 654.69 = 399.72 : x
  2. Step 2: Convert to fraction form
    434.28/654.69 = 399.72/x
  3. Step 3: Cross multiply
    434.28x = 654.69 × 399.72
  4. Step 4: Simplify right side
    434.28x = 261,692.69
  5. Step 5: Solve for x
    x = 261,692.69/434.28
  6. Step 6: Final answer
    x = 602.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.