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Finding the Fourth Proportional to 754.71, 1,041.41 and 439.87

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Solution

The fourth proportional to 754.71, 1,041.41 and 439.87 is: 606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.71 : 1,041.41 = 439.87 : x
  2. Step 2: Convert to fraction form
    754.71/1,041.41 = 439.87/x
  3. Step 3: Cross multiply
    754.71x = 1,041.41 × 439.87
  4. Step 4: Simplify right side
    754.71x = 458,083.51
  5. Step 5: Solve for x
    x = 458,083.51/754.71
  6. Step 6: Final answer
    x = 606.97

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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.