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Finding the Fourth Proportional to 734.57, 1,013.50 and 439.73

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Solution

The fourth proportional to 734.57, 1,013.50 and 439.73 is: 606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.57 : 1,013.50 = 439.73 : x
  2. Step 2: Convert to fraction form
    734.57/1,013.50 = 439.73/x
  3. Step 3: Cross multiply
    734.57x = 1,013.50 × 439.73
  4. Step 4: Simplify right side
    734.57x = 445,666.36
  5. Step 5: Solve for x
    x = 445,666.36/734.57
  6. Step 6: Final answer
    x = 606.70

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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.