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Finding the Fourth Proportional to 734.09, 1,012.97 and 513.77

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Solution

The fourth proportional to 734.09, 1,012.97 and 513.77 is: 708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.09 : 1,012.97 = 513.77 : x
  2. Step 2: Convert to fraction form
    734.09/1,012.97 = 513.77/x
  3. Step 3: Cross multiply
    734.09x = 1,012.97 × 513.77
  4. Step 4: Simplify right side
    734.09x = 520,429.82
  5. Step 5: Solve for x
    x = 520,429.82/734.09
  6. Step 6: Final answer
    x = 708.95

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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.