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Finding the Fourth Proportional to 692.36, 954.52 and 470.92

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Solution

The fourth proportional to 692.36, 954.52 and 470.92 is: 649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.36 : 954.52 = 470.92 : x
  2. Step 2: Convert to fraction form
    692.36/954.52 = 470.92/x
  3. Step 3: Cross multiply
    692.36x = 954.52 × 470.92
  4. Step 4: Simplify right side
    692.36x = 449,502.56
  5. Step 5: Solve for x
    x = 449,502.56/692.36
  6. Step 6: Final answer
    x = 649.23

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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.