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Finding the Fourth Proportional to 692.04, 954.83 and 397.29

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Solution

The fourth proportional to 692.04, 954.83 and 397.29 is: 548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.04 : 954.83 = 397.29 : x
  2. Step 2: Convert to fraction form
    692.04/954.83 = 397.29/x
  3. Step 3: Cross multiply
    692.04x = 954.83 × 397.29
  4. Step 4: Simplify right side
    692.04x = 379,342.42
  5. Step 5: Solve for x
    x = 379,342.42/692.04
  6. Step 6: Final answer
    x = 548.15

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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.