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Finding the Fourth Proportional to 640.71, 884.19 and 357.14

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Solution

The fourth proportional to 640.71, 884.19 and 357.14 is: 492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.71 : 884.19 = 357.14 : x
  2. Step 2: Convert to fraction form
    640.71/884.19 = 357.14/x
  3. Step 3: Cross multiply
    640.71x = 884.19 × 357.14
  4. Step 4: Simplify right side
    640.71x = 315,779.16
  5. Step 5: Solve for x
    x = 315,779.16/640.71
  6. Step 6: Final answer
    x = 492.86

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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.