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Finding the Fourth Proportional to 461.90, 692.85 and 451.78

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Solution

The fourth proportional to 461.90, 692.85 and 451.78 is: 677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.90 : 692.85 = 451.78 : x
  2. Step 2: Convert to fraction form
    461.90/692.85 = 451.78/x
  3. Step 3: Cross multiply
    461.90x = 692.85 × 451.78
  4. Step 4: Simplify right side
    461.90x = 313,012.31
  5. Step 5: Solve for x
    x = 313,012.31/461.90
  6. Step 6: Final answer
    x = 677.66

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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.