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Finding the Fourth Proportional to 637.31, 874.79 and 565.79

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Solution

The fourth proportional to 637.31, 874.79 and 565.79 is: 776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.31 : 874.79 = 565.79 : x
  2. Step 2: Convert to fraction form
    637.31/874.79 = 565.79/x
  3. Step 3: Cross multiply
    637.31x = 874.79 × 565.79
  4. Step 4: Simplify right side
    637.31x = 494,940.23
  5. Step 5: Solve for x
    x = 494,940.23/637.31
  6. Step 6: Final answer
    x = 776.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.