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Finding the Fourth Proportional to 692.32, 954.30 and 482.80

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Solution

The fourth proportional to 692.32, 954.30 and 482.80 is: 665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.32 : 954.30 = 482.80 : x
  2. Step 2: Convert to fraction form
    692.32/954.30 = 482.80/x
  3. Step 3: Cross multiply
    692.32x = 954.30 × 482.80
  4. Step 4: Simplify right side
    692.32x = 460,736.04
  5. Step 5: Solve for x
    x = 460,736.04/692.32
  6. Step 6: Final answer
    x = 665.50

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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.