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Finding the Fourth Proportional to 734.27, 1,012.91 and 512.73

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Solution

The fourth proportional to 734.27, 1,012.91 and 512.73 is: 707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.27 : 1,012.91 = 512.73 : x
  2. Step 2: Convert to fraction form
    734.27/1,012.91 = 512.73/x
  3. Step 3: Cross multiply
    734.27x = 1,012.91 × 512.73
  4. Step 4: Simplify right side
    734.27x = 519,346.78
  5. Step 5: Solve for x
    x = 519,346.78/734.27
  6. Step 6: Final answer
    x = 707.30

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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.