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Finding the Fourth Proportional to 692.57, 956.69 and 643.37

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Solution

The fourth proportional to 692.57, 956.69 and 643.37 is: 888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.57 : 956.69 = 643.37 : x
  2. Step 2: Convert to fraction form
    692.57/956.69 = 643.37/x
  3. Step 3: Cross multiply
    692.57x = 956.69 × 643.37
  4. Step 4: Simplify right side
    692.57x = 615,502.43
  5. Step 5: Solve for x
    x = 615,502.43/692.57
  6. Step 6: Final answer
    x = 888.72

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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.