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Finding the Fourth Proportional to 640.65, 884.07 and 357.07

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Solution

The fourth proportional to 640.65, 884.07 and 357.07 is: 492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.65 : 884.07 = 357.07 : x
  2. Step 2: Convert to fraction form
    640.65/884.07 = 357.07/x
  3. Step 3: Cross multiply
    640.65x = 884.07 × 357.07
  4. Step 4: Simplify right side
    640.65x = 315,674.87
  5. Step 5: Solve for x
    x = 315,674.87/640.65
  6. Step 6: Final answer
    x = 492.74

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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.