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Finding the Fourth Proportional to 523.98, 724.43 and 501.03

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Solution

The fourth proportional to 523.98, 724.43 and 501.03 is: 692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.98 : 724.43 = 501.03 : x
  2. Step 2: Convert to fraction form
    523.98/724.43 = 501.03/x
  3. Step 3: Cross multiply
    523.98x = 724.43 × 501.03
  4. Step 4: Simplify right side
    523.98x = 362,958.66
  5. Step 5: Solve for x
    x = 362,958.66/523.98
  6. Step 6: Final answer
    x = 692.70

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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.