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Finding the Fourth Proportional to 462.58, 692.96 and 308.07

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Solution

The fourth proportional to 462.58, 692.96 and 308.07 is: 461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.58 : 692.96 = 308.07 : x
  2. Step 2: Convert to fraction form
    462.58/692.96 = 308.07/x
  3. Step 3: Cross multiply
    462.58x = 692.96 × 308.07
  4. Step 4: Simplify right side
    462.58x = 213,478.65
  5. Step 5: Solve for x
    x = 213,478.65/462.58
  6. Step 6: Final answer
    x = 461.50

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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.