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Finding the Fourth Proportional to 734.55, 1,013.97 and 439.71

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Solution

The fourth proportional to 734.55, 1,013.97 and 439.71 is: 606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.55 : 1,013.97 = 439.71 : x
  2. Step 2: Convert to fraction form
    734.55/1,013.97 = 439.71/x
  3. Step 3: Cross multiply
    734.55x = 1,013.97 × 439.71
  4. Step 4: Simplify right side
    734.55x = 445,852.75
  5. Step 5: Solve for x
    x = 445,852.75/734.55
  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.