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Finding the Fourth Proportional to 692.46, 957.81 and 581.76

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Solution

The fourth proportional to 692.46, 957.81 and 581.76 is: 804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.46 : 957.81 = 581.76 : x
  2. Step 2: Convert to fraction form
    692.46/957.81 = 581.76/x
  3. Step 3: Cross multiply
    692.46x = 957.81 × 581.76
  4. Step 4: Simplify right side
    692.46x = 557,215.55
  5. Step 5: Solve for x
    x = 557,215.55/692.46
  6. Step 6: Final answer
    x = 804.69

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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.