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Finding the Fourth Proportional to 622.23, 860.79 and 511.48

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Solution

The fourth proportional to 622.23, 860.79 and 511.48 is: 707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.23 : 860.79 = 511.48 : x
  2. Step 2: Convert to fraction form
    622.23/860.79 = 511.48/x
  3. Step 3: Cross multiply
    622.23x = 860.79 × 511.48
  4. Step 4: Simplify right side
    622.23x = 440,276.87
  5. Step 5: Solve for x
    x = 440,276.87/622.23
  6. Step 6: Final answer
    x = 707.58

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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.