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Finding the Fourth Proportional to 692.72, 956.30 and 430.82

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Solution

The fourth proportional to 692.72, 956.30 and 430.82 is: 594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.72 : 956.30 = 430.82 : x
  2. Step 2: Convert to fraction form
    692.72/956.30 = 430.82/x
  3. Step 3: Cross multiply
    692.72x = 956.30 × 430.82
  4. Step 4: Simplify right side
    692.72x = 411,993.17
  5. Step 5: Solve for x
    x = 411,993.17/692.72
  6. Step 6: Final answer
    x = 594.75

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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.