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Finding the Fourth Proportional to 462.80, 692.19 and 414.44

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Solution

The fourth proportional to 462.80, 692.19 and 414.44 is: 619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.80 : 692.19 = 414.44 : x
  2. Step 2: Convert to fraction form
    462.80/692.19 = 414.44/x
  3. Step 3: Cross multiply
    462.80x = 692.19 × 414.44
  4. Step 4: Simplify right side
    462.80x = 286,871.22
  5. Step 5: Solve for x
    x = 286,871.22/462.80
  6. Step 6: Final answer
    x = 619.86

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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.