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Finding the Fourth Proportional to 675, 930.96 and 498.56

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Solution

The fourth proportional to 675, 930.96 and 498.56 is: 687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    675 : 930.96 = 498.56 : x
  2. Step 2: Convert to fraction form
    675/930.96 = 498.56/x
  3. Step 3: Cross multiply
    675x = 930.96 × 498.56
  4. Step 4: Simplify right side
    675x = 464,134.76
  5. Step 5: Solve for x
    x = 464,134.76/675
  6. Step 6: Final answer
    x = 687.61

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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.