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Finding the Fourth Proportional to 692.15, 956.88 and 686.07

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Solution

The fourth proportional to 692.15, 956.88 and 686.07 is: 948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.15 : 956.88 = 686.07 : x
  2. Step 2: Convert to fraction form
    692.15/956.88 = 686.07/x
  3. Step 3: Cross multiply
    692.15x = 956.88 × 686.07
  4. Step 4: Simplify right side
    692.15x = 656,486.66
  5. Step 5: Solve for x
    x = 656,486.66/692.15
  6. Step 6: Final answer
    x = 948.48

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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.