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Finding the Fourth Proportional to 464.07, 692.32 and 427.62

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Solution

The fourth proportional to 464.07, 692.32 and 427.62 is: 637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.07 : 692.32 = 427.62 : x
  2. Step 2: Convert to fraction form
    464.07/692.32 = 427.62/x
  3. Step 3: Cross multiply
    464.07x = 692.32 × 427.62
  4. Step 4: Simplify right side
    464.07x = 296,048.81
  5. Step 5: Solve for x
    x = 296,048.81/464.07
  6. Step 6: Final answer
    x = 637.94

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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.