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Finding the Fourth Proportional to 724.17, 999.72 and 501.33

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Solution

The fourth proportional to 724.17, 999.72 and 501.33 is: 692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.17 : 999.72 = 501.33 : x
  2. Step 2: Convert to fraction form
    724.17/999.72 = 501.33/x
  3. Step 3: Cross multiply
    724.17x = 999.72 × 501.33
  4. Step 4: Simplify right side
    724.17x = 501,189.63
  5. Step 5: Solve for x
    x = 501,189.63/724.17
  6. Step 6: Final answer
    x = 692.09

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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.