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Finding the Fourth Proportional to 692.31, 955.36 and 377.57

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Solution

The fourth proportional to 692.31, 955.36 and 377.57 is: 521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.31 : 955.36 = 377.57 : x
  2. Step 2: Convert to fraction form
    692.31/955.36 = 377.57/x
  3. Step 3: Cross multiply
    692.31x = 955.36 × 377.57
  4. Step 4: Simplify right side
    692.31x = 360,715.45
  5. Step 5: Solve for x
    x = 360,715.45/692.31
  6. Step 6: Final answer
    x = 521.03

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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.