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Finding the Fourth Proportional to 692.69, 956.22 and 430.88

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Solution

The fourth proportional to 692.69, 956.22 and 430.88 is: 594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.69 : 956.22 = 430.88 : x
  2. Step 2: Convert to fraction form
    692.69/956.22 = 430.88/x
  3. Step 3: Cross multiply
    692.69x = 956.22 × 430.88
  4. Step 4: Simplify right side
    692.69x = 412,016.07
  5. Step 5: Solve for x
    x = 412,016.07/692.69
  6. Step 6: Final answer
    x = 594.81

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1.5x scale

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.