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Finding the Fourth Proportional to 722.57, 996.08 and 512.09

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Solution

The fourth proportional to 722.57, 996.08 and 512.09 is: 705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.57 : 996.08 = 512.09 : x
  2. Step 2: Convert to fraction form
    722.57/996.08 = 512.09/x
  3. Step 3: Cross multiply
    722.57x = 996.08 × 512.09
  4. Step 4: Simplify right side
    722.57x = 510,075.07
  5. Step 5: Solve for x
    x = 510,075.07/722.57
  6. Step 6: Final answer
    x = 705.92

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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.