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Finding the Fourth Proportional to 692.16, 956.43 and 495.33

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Solution

The fourth proportional to 692.16, 956.43 and 495.33 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.16 : 956.43 = 495.33 : x
  2. Step 2: Convert to fraction form
    692.16/956.43 = 495.33/x
  3. Step 3: Cross multiply
    692.16x = 956.43 × 495.33
  4. Step 4: Simplify right side
    692.16x = 473,748.47
  5. Step 5: Solve for x
    x = 473,748.47/692.16
  6. Step 6: Final answer
    x = 684.45

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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.