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Finding the Fourth Proportional to 463.86, 640.24 and 289.10

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Solution

The fourth proportional to 463.86, 640.24 and 289.10 is: 399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 640.24 = 289.10 : x
  2. Step 2: Convert to fraction form
    463.86/640.24 = 289.10/x
  3. Step 3: Cross multiply
    463.86x = 640.24 × 289.10
  4. Step 4: Simplify right side
    463.86x = 185,093.38
  5. Step 5: Solve for x
    x = 185,093.38/463.86
  6. Step 6: Final answer
    x = 399.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.