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Finding the Fourth Proportional to 468.12, 697.68 and 464.31

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Solution

The fourth proportional to 468.12, 697.68 and 464.31 is: 692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.12 : 697.68 = 464.31 : x
  2. Step 2: Convert to fraction form
    468.12/697.68 = 464.31/x
  3. Step 3: Cross multiply
    468.12x = 697.68 × 464.31
  4. Step 4: Simplify right side
    468.12x = 323,939.80
  5. Step 5: Solve for x
    x = 323,939.80/468.12
  6. Step 6: Final answer
    x = 692.00

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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.