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Finding the Fourth Proportional to 640.71, 883.65 and 452.28

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Solution

The fourth proportional to 640.71, 883.65 and 452.28 is: 623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.71 : 883.65 = 452.28 : x
  2. Step 2: Convert to fraction form
    640.71/883.65 = 452.28/x
  3. Step 3: Cross multiply
    640.71x = 883.65 × 452.28
  4. Step 4: Simplify right side
    640.71x = 399,657.22
  5. Step 5: Solve for x
    x = 399,657.22/640.71
  6. Step 6: Final answer
    x = 623.77

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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.