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Finding the Fourth Proportional to 692.36, 954.96 and 482.61

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Solution

The fourth proportional to 692.36, 954.96 and 482.61 is: 665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.36 : 954.96 = 482.61 : x
  2. Step 2: Convert to fraction form
    692.36/954.96 = 482.61/x
  3. Step 3: Cross multiply
    692.36x = 954.96 × 482.61
  4. Step 4: Simplify right side
    692.36x = 460,873.25
  5. Step 5: Solve for x
    x = 460,873.25/692.36
  6. Step 6: Final answer
    x = 665.66

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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.