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Finding the Fourth Proportional to 628.92, 872.03 and 596.10

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Solution

The fourth proportional to 628.92, 872.03 and 596.10 is: 826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.92 : 872.03 = 596.10 : x
  2. Step 2: Convert to fraction form
    628.92/872.03 = 596.10/x
  3. Step 3: Cross multiply
    628.92x = 872.03 × 596.10
  4. Step 4: Simplify right side
    628.92x = 519,814.10
  5. Step 5: Solve for x
    x = 519,814.10/628.92
  6. Step 6: Final answer
    x = 826.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.