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Finding the Fourth Proportional to 692.55, 955.71 and 397.87

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Solution

The fourth proportional to 692.55, 955.71 and 397.87 is: 549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.55 : 955.71 = 397.87 : x
  2. Step 2: Convert to fraction form
    692.55/955.71 = 397.87/x
  3. Step 3: Cross multiply
    692.55x = 955.71 × 397.87
  4. Step 4: Simplify right side
    692.55x = 380,241.57
  5. Step 5: Solve for x
    x = 380,241.57/692.55
  6. Step 6: Final answer
    x = 549.05

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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.