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Finding the Fourth Proportional to 464.37, 692.95 and 415.09

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Solution

The fourth proportional to 464.37, 692.95 and 415.09 is: 619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.37 : 692.95 = 415.09 : x
  2. Step 2: Convert to fraction form
    464.37/692.95 = 415.09/x
  3. Step 3: Cross multiply
    464.37x = 692.95 × 415.09
  4. Step 4: Simplify right side
    464.37x = 287,636.62
  5. Step 5: Solve for x
    x = 287,636.62/464.37
  6. Step 6: Final answer
    x = 619.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.