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Finding the Fourth Proportional to 692.44, 956.10 and 430.90

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Solution

The fourth proportional to 692.44, 956.10 and 430.90 is: 594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.44 : 956.10 = 430.90 : x
  2. Step 2: Convert to fraction form
    692.44/956.10 = 430.90/x
  3. Step 3: Cross multiply
    692.44x = 956.10 × 430.90
  4. Step 4: Simplify right side
    692.44x = 411,983.49
  5. Step 5: Solve for x
    x = 411,983.49/692.44
  6. Step 6: Final answer
    x = 594.97

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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.