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Finding the Fourth Proportional to 462.94, 692.43 and 339.61

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Solution

The fourth proportional to 462.94, 692.43 and 339.61 is: 507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.94 : 692.43 = 339.61 : x
  2. Step 2: Convert to fraction form
    462.94/692.43 = 339.61/x
  3. Step 3: Cross multiply
    462.94x = 692.43 × 339.61
  4. Step 4: Simplify right side
    462.94x = 235,156.15
  5. Step 5: Solve for x
    x = 235,156.15/462.94
  6. Step 6: Final answer
    x = 507.96

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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.