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Finding the Fourth Proportional to 468.48, 647.04 and 381.60

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Solution

The fourth proportional to 468.48, 647.04 and 381.60 is: 527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.48 : 647.04 = 381.60 : x
  2. Step 2: Convert to fraction form
    468.48/647.04 = 381.60/x
  3. Step 3: Cross multiply
    468.48x = 647.04 × 381.60
  4. Step 4: Simplify right side
    468.48x = 246,910.46
  5. Step 5: Solve for x
    x = 246,910.46/468.48
  6. Step 6: Final answer
    x = 527.05

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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.