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Finding the Fourth Proportional to 640.53, 884.12 and 392.00

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Solution

The fourth proportional to 640.53, 884.12 and 392.00 is: 541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.53 : 884.12 = 392.00 : x
  2. Step 2: Convert to fraction form
    640.53/884.12 = 392.00/x
  3. Step 3: Cross multiply
    640.53x = 884.12 × 392.00
  4. Step 4: Simplify right side
    640.53x = 346,568.66
  5. Step 5: Solve for x
    x = 346,568.66/640.53
  6. Step 6: Final answer
    x = 541.07

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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.