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Finding the Fourth Proportional to 524.39, 722.00 and 475.79

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Solution

The fourth proportional to 524.39, 722.00 and 475.79 is: 655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.39 : 722.00 = 475.79 : x
  2. Step 2: Convert to fraction form
    524.39/722.00 = 475.79/x
  3. Step 3: Cross multiply
    524.39x = 722.00 × 475.79
  4. Step 4: Simplify right side
    524.39x = 343,517.96
  5. Step 5: Solve for x
    x = 343,517.96/524.39
  6. Step 6: Final answer
    x = 655.09

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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.