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Finding the Fourth Proportional to 762.41, 1,143 and 719.48

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Solution

The fourth proportional to 762.41, 1,143 and 719.48 is: 1,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.41 : 1,143 = 719.48 : x
  2. Step 2: Convert to fraction form
    762.41/1,143 = 719.48/x
  3. Step 3: Cross multiply
    762.41x = 1,143 × 719.48
  4. Step 4: Simplify right side
    762.41x = 822,365.64
  5. Step 5: Solve for x
    x = 822,365.64/762.41
  6. Step 6: Final answer
    x = 1,078.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.