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Finding the Fourth Proportional to 524.62, 722.32 and 445.77

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Solution

The fourth proportional to 524.62, 722.32 and 445.77 is: 613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.62 : 722.32 = 445.77 : x
  2. Step 2: Convert to fraction form
    524.62/722.32 = 445.77/x
  3. Step 3: Cross multiply
    524.62x = 722.32 × 445.77
  4. Step 4: Simplify right side
    524.62x = 321,988.59
  5. Step 5: Solve for x
    x = 321,988.59/524.62
  6. Step 6: Final answer
    x = 613.76

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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.