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Finding the Fourth Proportional to 628.91, 863.24 and 557.40

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Solution

The fourth proportional to 628.91, 863.24 and 557.40 is: 765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.91 : 863.24 = 557.40 : x
  2. Step 2: Convert to fraction form
    628.91/863.24 = 557.40/x
  3. Step 3: Cross multiply
    628.91x = 863.24 × 557.40
  4. Step 4: Simplify right side
    628.91x = 481,167.19
  5. Step 5: Solve for x
    x = 481,167.19/628.91
  6. Step 6: Final answer
    x = 765.09

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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.