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Finding the Fourth Proportional to 692.75, 954.69 and 495.92

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Solution

The fourth proportional to 692.75, 954.69 and 495.92 is: 683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.75 : 954.69 = 495.92 : x
  2. Step 2: Convert to fraction form
    692.75/954.69 = 495.92/x
  3. Step 3: Cross multiply
    692.75x = 954.69 × 495.92
  4. Step 4: Simplify right side
    692.75x = 473,450.39
  5. Step 5: Solve for x
    x = 473,450.39/692.75
  6. Step 6: Final answer
    x = 683.43

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Half scale
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Double scale
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1.5x scale

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.