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Finding the Fourth Proportional to 464.16, 692.85 and 429.90

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Solution

The fourth proportional to 464.16, 692.85 and 429.90 is: 641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.16 : 692.85 = 429.90 : x
  2. Step 2: Convert to fraction form
    464.16/692.85 = 429.90/x
  3. Step 3: Cross multiply
    464.16x = 692.85 × 429.90
  4. Step 4: Simplify right side
    464.16x = 297,850.60
  5. Step 5: Solve for x
    x = 297,850.60/464.16
  6. Step 6: Final answer
    x = 641.71

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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.