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Finding the Fourth Proportional to 462.20, 692.71 and 457.31

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Solution

The fourth proportional to 462.20, 692.71 and 457.31 is: 685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.20 : 692.71 = 457.31 : x
  2. Step 2: Convert to fraction form
    462.20/692.71 = 457.31/x
  3. Step 3: Cross multiply
    462.20x = 692.71 × 457.31
  4. Step 4: Simplify right side
    462.20x = 316,783.80
  5. Step 5: Solve for x
    x = 316,783.80/462.20
  6. Step 6: Final answer
    x = 685.39

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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.