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Finding the Fourth Proportional to 461.82, 692.44 and 317.64

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Solution

The fourth proportional to 461.82, 692.44 and 317.64 is: 476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.82 : 692.44 = 317.64 : x
  2. Step 2: Convert to fraction form
    461.82/692.44 = 317.64/x
  3. Step 3: Cross multiply
    461.82x = 692.44 × 317.64
  4. Step 4: Simplify right side
    461.82x = 219,946.64
  5. Step 5: Solve for x
    x = 219,946.64/461.82
  6. Step 6: Final answer
    x = 476.26

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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.