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Finding the Fourth Proportional to 692.16, 955.12 and 381.64

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Solution

The fourth proportional to 692.16, 955.12 and 381.64 is: 526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.16 : 955.12 = 381.64 : x
  2. Step 2: Convert to fraction form
    692.16/955.12 = 381.64/x
  3. Step 3: Cross multiply
    692.16x = 955.12 × 381.64
  4. Step 4: Simplify right side
    692.16x = 364,512.00
  5. Step 5: Solve for x
    x = 364,512.00/692.16
  6. Step 6: Final answer
    x = 526.63

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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.