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Finding the Fourth Proportional to 461.08, 690.18 and 427

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Solution

The fourth proportional to 461.08, 690.18 and 427 is: 639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.08 : 690.18 = 427 : x
  2. Step 2: Convert to fraction form
    461.08/690.18 = 427/x
  3. Step 3: Cross multiply
    461.08x = 690.18 × 427
  4. Step 4: Simplify right side
    461.08x = 294,706.86
  5. Step 5: Solve for x
    x = 294,706.86/461.08
  6. Step 6: Final answer
    x = 639.17

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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.