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Finding the Fourth Proportional to 640.48, 884.08 and 378.46

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Solution

The fourth proportional to 640.48, 884.08 and 378.46 is: 522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.48 : 884.08 = 378.46 : x
  2. Step 2: Convert to fraction form
    640.48/884.08 = 378.46/x
  3. Step 3: Cross multiply
    640.48x = 884.08 × 378.46
  4. Step 4: Simplify right side
    640.48x = 334,588.92
  5. Step 5: Solve for x
    x = 334,588.92/640.48
  6. Step 6: Final answer
    x = 522.40

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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.