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Finding the Fourth Proportional to 692.02, 954.22 and 470.58

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Solution

The fourth proportional to 692.02, 954.22 and 470.58 is: 648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.02 : 954.22 = 470.58 : x
  2. Step 2: Convert to fraction form
    692.02/954.22 = 470.58/x
  3. Step 3: Cross multiply
    692.02x = 954.22 × 470.58
  4. Step 4: Simplify right side
    692.02x = 449,036.85
  5. Step 5: Solve for x
    x = 449,036.85/692.02
  6. Step 6: Final answer
    x = 648.88

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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.