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Finding the Fourth Proportional to 462.84, 692.84 and 397.23

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Solution

The fourth proportional to 462.84, 692.84 and 397.23 is: 594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 692.84 = 397.23 : x
  2. Step 2: Convert to fraction form
    462.84/692.84 = 397.23/x
  3. Step 3: Cross multiply
    462.84x = 692.84 × 397.23
  4. Step 4: Simplify right side
    462.84x = 275,214.85
  5. Step 5: Solve for x
    x = 275,214.85/462.84
  6. Step 6: Final answer
    x = 594.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.