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Finding the Fourth Proportional to 462.87, 692.70 and 280.38

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Solution

The fourth proportional to 462.87, 692.70 and 280.38 is: 419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.87 : 692.70 = 280.38 : x
  2. Step 2: Convert to fraction form
    462.87/692.70 = 280.38/x
  3. Step 3: Cross multiply
    462.87x = 692.70 × 280.38
  4. Step 4: Simplify right side
    462.87x = 194,219.23
  5. Step 5: Solve for x
    x = 194,219.23/462.87
  6. Step 6: Final answer
    x = 419.60

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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.