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Finding the Fourth Proportional to 742.41, 1,025.37 and 505.95

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Solution

The fourth proportional to 742.41, 1,025.37 and 505.95 is: 698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.41 : 1,025.37 = 505.95 : x
  2. Step 2: Convert to fraction form
    742.41/1,025.37 = 505.95/x
  3. Step 3: Cross multiply
    742.41x = 1,025.37 × 505.95
  4. Step 4: Simplify right side
    742.41x = 518,778.29
  5. Step 5: Solve for x
    x = 518,778.29/742.41
  6. Step 6: Final answer
    x = 698.78

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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.