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Finding the Fourth Proportional to 628.69, 869.93 and 546.07

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Solution

The fourth proportional to 628.69, 869.93 and 546.07 is: 755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.69 : 869.93 = 546.07 : x
  2. Step 2: Convert to fraction form
    628.69/869.93 = 546.07/x
  3. Step 3: Cross multiply
    628.69x = 869.93 × 546.07
  4. Step 4: Simplify right side
    628.69x = 475,042.68
  5. Step 5: Solve for x
    x = 475,042.68/628.69
  6. Step 6: Final answer
    x = 755.61

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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.