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Finding the Fourth Proportional to 464.32, 692.69 and 427.87

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Solution

The fourth proportional to 464.32, 692.69 and 427.87 is: 638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.32 : 692.69 = 427.87 : x
  2. Step 2: Convert to fraction form
    464.32/692.69 = 427.87/x
  3. Step 3: Cross multiply
    464.32x = 692.69 × 427.87
  4. Step 4: Simplify right side
    464.32x = 296,381.27
  5. Step 5: Solve for x
    x = 296,381.27/464.32
  6. Step 6: Final answer
    x = 638.31

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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.