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Finding the Fourth Proportional to 692.92, 956.10 and 427.11

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Solution

The fourth proportional to 692.92, 956.10 and 427.11 is: 589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.92 : 956.10 = 427.11 : x
  2. Step 2: Convert to fraction form
    692.92/956.10 = 427.11/x
  3. Step 3: Cross multiply
    692.92x = 956.10 × 427.11
  4. Step 4: Simplify right side
    692.92x = 408,359.87
  5. Step 5: Solve for x
    x = 408,359.87/692.92
  6. Step 6: Final answer
    x = 589.33

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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.