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Finding the Fourth Proportional to 628.60, 866.90 and 535.66

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Solution

The fourth proportional to 628.60, 866.90 and 535.66 is: 738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.60 : 866.90 = 535.66 : x
  2. Step 2: Convert to fraction form
    628.60/866.90 = 535.66/x
  3. Step 3: Cross multiply
    628.60x = 866.90 × 535.66
  4. Step 4: Simplify right side
    628.60x = 464,363.65
  5. Step 5: Solve for x
    x = 464,363.65/628.60
  6. Step 6: Final answer
    x = 738.73

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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.