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Finding the Fourth Proportional to 692.59, 955.64 and 397.87

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Solution

The fourth proportional to 692.59, 955.64 and 397.87 is: 548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.59 : 955.64 = 397.87 : x
  2. Step 2: Convert to fraction form
    692.59/955.64 = 397.87/x
  3. Step 3: Cross multiply
    692.59x = 955.64 × 397.87
  4. Step 4: Simplify right side
    692.59x = 380,215.71
  5. Step 5: Solve for x
    x = 380,215.71/692.59
  6. Step 6: Final answer
    x = 548.98

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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.