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Finding the Fourth Proportional to 461.99, 692.31 and 364.74

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Solution

The fourth proportional to 461.99, 692.31 and 364.74 is: 546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.99 : 692.31 = 364.74 : x
  2. Step 2: Convert to fraction form
    461.99/692.31 = 364.74/x
  3. Step 3: Cross multiply
    461.99x = 692.31 × 364.74
  4. Step 4: Simplify right side
    461.99x = 252,513.15
  5. Step 5: Solve for x
    x = 252,513.15/461.99
  6. Step 6: Final answer
    x = 546.57

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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.