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Finding the Fourth Proportional to 524.07, 721.44 and 399.51

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Solution

The fourth proportional to 524.07, 721.44 and 399.51 is: 549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.07 : 721.44 = 399.51 : x
  2. Step 2: Convert to fraction form
    524.07/721.44 = 399.51/x
  3. Step 3: Cross multiply
    524.07x = 721.44 × 399.51
  4. Step 4: Simplify right side
    524.07x = 288,222.49
  5. Step 5: Solve for x
    x = 288,222.49/524.07
  6. Step 6: Final answer
    x = 549.97

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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.