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Finding the Fourth Proportional to 692.51, 956.02 and 426.97

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Solution

The fourth proportional to 692.51, 956.02 and 426.97 is: 589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.51 : 956.02 = 426.97 : x
  2. Step 2: Convert to fraction form
    692.51/956.02 = 426.97/x
  3. Step 3: Cross multiply
    692.51x = 956.02 × 426.97
  4. Step 4: Simplify right side
    692.51x = 408,187.08
  5. Step 5: Solve for x
    x = 408,187.08/692.51
  6. Step 6: Final answer
    x = 589.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.