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Finding the Fourth Proportional to 628.59, 938.22 and 535.44

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Solution

The fourth proportional to 628.59, 938.22 and 535.44 is: 799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.59 : 938.22 = 535.44 : x
  2. Step 2: Convert to fraction form
    628.59/938.22 = 535.44/x
  3. Step 3: Cross multiply
    628.59x = 938.22 × 535.44
  4. Step 4: Simplify right side
    628.59x = 502,360.52
  5. Step 5: Solve for x
    x = 502,360.52/628.59
  6. Step 6: Final answer
    x = 799.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.