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Finding the Fourth Proportional to 637.23, 880.20 and 513.33

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Solution

The fourth proportional to 637.23, 880.20 and 513.33 is: 709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.23 : 880.20 = 513.33 : x
  2. Step 2: Convert to fraction form
    637.23/880.20 = 513.33/x
  3. Step 3: Cross multiply
    637.23x = 880.20 × 513.33
  4. Step 4: Simplify right side
    637.23x = 451,833.07
  5. Step 5: Solve for x
    x = 451,833.07/637.23
  6. Step 6: Final answer
    x = 709.06

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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.