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Finding the Fourth Proportional to 692.01, 954.52 and 492.81

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Solution

The fourth proportional to 692.01, 954.52 and 492.81 is: 679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.01 : 954.52 = 492.81 : x
  2. Step 2: Convert to fraction form
    692.01/954.52 = 492.81/x
  3. Step 3: Cross multiply
    692.01x = 954.52 × 492.81
  4. Step 4: Simplify right side
    692.01x = 470,394.54
  5. Step 5: Solve for x
    x = 470,394.54/692.01
  6. Step 6: Final answer
    x = 679.76

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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.