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Finding the Fourth Proportional to 464.71, 692.91 and 451.95

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Solution

The fourth proportional to 464.71, 692.91 and 451.95 is: 673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.71 : 692.91 = 451.95 : x
  2. Step 2: Convert to fraction form
    464.71/692.91 = 451.95/x
  3. Step 3: Cross multiply
    464.71x = 692.91 × 451.95
  4. Step 4: Simplify right side
    464.71x = 313,158.98
  5. Step 5: Solve for x
    x = 313,158.98/464.71
  6. Step 6: Final answer
    x = 673.88

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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.