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Finding the Fourth Proportional to 687.82, 1,032.01 and 441.30

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Solution

The fourth proportional to 687.82, 1,032.01 and 441.30 is: 662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.82 : 1,032.01 = 441.30 : x
  2. Step 2: Convert to fraction form
    687.82/1,032.01 = 441.30/x
  3. Step 3: Cross multiply
    687.82x = 1,032.01 × 441.30
  4. Step 4: Simplify right side
    687.82x = 455,426.01
  5. Step 5: Solve for x
    x = 455,426.01/687.82
  6. Step 6: Final answer
    x = 662.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.