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Finding the Fourth Proportional to 524.27, 721.71 and 450.16

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Solution

The fourth proportional to 524.27, 721.71 and 450.16 is: 619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.27 : 721.71 = 450.16 : x
  2. Step 2: Convert to fraction form
    524.27/721.71 = 450.16/x
  3. Step 3: Cross multiply
    524.27x = 721.71 × 450.16
  4. Step 4: Simplify right side
    524.27x = 324,883.17
  5. Step 5: Solve for x
    x = 324,883.17/524.27
  6. Step 6: Final answer
    x = 619.68

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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.