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Finding the Fourth Proportional to 640.68, 883.12 and 453.77

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Solution

The fourth proportional to 640.68, 883.12 and 453.77 is: 625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.68 : 883.12 = 453.77 : x
  2. Step 2: Convert to fraction form
    640.68/883.12 = 453.77/x
  3. Step 3: Cross multiply
    640.68x = 883.12 × 453.77
  4. Step 4: Simplify right side
    640.68x = 400,733.36
  5. Step 5: Solve for x
    x = 400,733.36/640.68
  6. Step 6: Final answer
    x = 625.48

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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.