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Finding the Fourth Proportional to 463.64, 639.58 and 289.04

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Solution

The fourth proportional to 463.64, 639.58 and 289.04 is: 398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.64 : 639.58 = 289.04 : x
  2. Step 2: Convert to fraction form
    463.64/639.58 = 289.04/x
  3. Step 3: Cross multiply
    463.64x = 639.58 × 289.04
  4. Step 4: Simplify right side
    463.64x = 184,864.20
  5. Step 5: Solve for x
    x = 184,864.20/463.64
  6. Step 6: Final answer
    x = 398.72

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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.