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Finding the Fourth Proportional to 628.48, 865.92 and 511.84

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Solution

The fourth proportional to 628.48, 865.92 and 511.84 is: 705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.48 : 865.92 = 511.84 : x
  2. Step 2: Convert to fraction form
    628.48/865.92 = 511.84/x
  3. Step 3: Cross multiply
    628.48x = 865.92 × 511.84
  4. Step 4: Simplify right side
    628.48x = 443,212.49
  5. Step 5: Solve for x
    x = 443,212.49/628.48
  6. Step 6: Final answer
    x = 705.21

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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.