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Finding the Fourth Proportional to 692.20, 954.26 and 430.04

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Solution

The fourth proportional to 692.20, 954.26 and 430.04 is: 592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.20 : 954.26 = 430.04 : x
  2. Step 2: Convert to fraction form
    692.20/954.26 = 430.04/x
  3. Step 3: Cross multiply
    692.20x = 954.26 × 430.04
  4. Step 4: Simplify right side
    692.20x = 410,369.97
  5. Step 5: Solve for x
    x = 410,369.97/692.20
  6. Step 6: Final answer
    x = 592.85

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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.